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Finding the Fourth Proportional to 1,787.47, 2,666.13 and 1,732.79

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Solution

The fourth proportional to 1,787.47, 2,666.13 and 1,732.79 is: 2,584.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.47 : 2,666.13 = 1,732.79 : x
  2. Step 2: Convert to fraction form
    1,787.47/2,666.13 = 1,732.79/x
  3. Step 3: Cross multiply
    1,787.47x = 2,666.13 × 1,732.79
  4. Step 4: Simplify right side
    1,787.47x = 4,619,853.32
  5. Step 5: Solve for x
    x = 4,619,853.32/1,787.47
  6. Step 6: Final answer
    x = 2,584.58

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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.