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Finding the Fourth Proportional to 2,075.44, 2,857.88 and 1,795.16

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Solution

The fourth proportional to 2,075.44, 2,857.88 and 1,795.16 is: 2,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.44 : 2,857.88 = 1,795.16 : x
  2. Step 2: Convert to fraction form
    2,075.44/2,857.88 = 1,795.16/x
  3. Step 3: Cross multiply
    2,075.44x = 2,857.88 × 1,795.16
  4. Step 4: Simplify right side
    2,075.44x = 5,130,351.86
  5. Step 5: Solve for x
    x = 5,130,351.86/2,075.44
  6. Step 6: Final answer
    x = 2,471.93

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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.