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Finding the Fourth Proportional to 3,075.47, 4,244.15 and 1,678.22

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Solution

The fourth proportional to 3,075.47, 4,244.15 and 1,678.22 is: 2,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.47 : 4,244.15 = 1,678.22 : x
  2. Step 2: Convert to fraction form
    3,075.47/4,244.15 = 1,678.22/x
  3. Step 3: Cross multiply
    3,075.47x = 4,244.15 × 1,678.22
  4. Step 4: Simplify right side
    3,075.47x = 7,122,606.86
  5. Step 5: Solve for x
    x = 7,122,606.86/3,075.47
  6. Step 6: Final answer
    x = 2,315.94

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.