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Finding the Fourth Proportional to 3,000.54, 4,140.69 and 1,674.22

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Solution

The fourth proportional to 3,000.54, 4,140.69 and 1,674.22 is: 2,310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.54 : 4,140.69 = 1,674.22 : x
  2. Step 2: Convert to fraction form
    3,000.54/4,140.69 = 1,674.22/x
  3. Step 3: Cross multiply
    3,000.54x = 4,140.69 × 1,674.22
  4. Step 4: Simplify right side
    3,000.54x = 6,932,417.15
  5. Step 5: Solve for x
    x = 6,932,417.15/3,000.54
  6. Step 6: Final answer
    x = 2,310.39

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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.