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Finding the Fourth Proportional to 1,609.93, 2,414.53 and 787.38

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Solution

The fourth proportional to 1,609.93, 2,414.53 and 787.38 is: 1,180.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.93 : 2,414.53 = 787.38 : x
  2. Step 2: Convert to fraction form
    1,609.93/2,414.53 = 787.38/x
  3. Step 3: Cross multiply
    1,609.93x = 2,414.53 × 787.38
  4. Step 4: Simplify right side
    1,609.93x = 1,901,152.63
  5. Step 5: Solve for x
    x = 1,901,152.63/1,609.93
  6. Step 6: Final answer
    x = 1,180.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.