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Finding the Fourth Proportional to 2,666.78, 3,680.14 and 1,487.82

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Solution

The fourth proportional to 2,666.78, 3,680.14 and 1,487.82 is: 2,053.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.78 : 3,680.14 = 1,487.82 : x
  2. Step 2: Convert to fraction form
    2,666.78/3,680.14 = 1,487.82/x
  3. Step 3: Cross multiply
    2,666.78x = 3,680.14 × 1,487.82
  4. Step 4: Simplify right side
    2,666.78x = 5,475,385.89
  5. Step 5: Solve for x
    x = 5,475,385.89/2,666.78
  6. Step 6: Final answer
    x = 2,053.18

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