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Finding the Fourth Proportional to 1,385.31, 2,068.98 and 1,255.05

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Solution

The fourth proportional to 1,385.31, 2,068.98 and 1,255.05 is: 1,874.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.31 : 2,068.98 = 1,255.05 : x
  2. Step 2: Convert to fraction form
    1,385.31/2,068.98 = 1,255.05/x
  3. Step 3: Cross multiply
    1,385.31x = 2,068.98 × 1,255.05
  4. Step 4: Simplify right side
    1,385.31x = 2,596,673.35
  5. Step 5: Solve for x
    x = 2,596,673.35/1,385.31
  6. Step 6: Final answer
    x = 1,874.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.