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Finding the Fourth Proportional to 1,787.26, 2,679.90 and 616.72

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Solution

The fourth proportional to 1,787.26, 2,679.90 and 616.72 is: 924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.26 : 2,679.90 = 616.72 : x
  2. Step 2: Convert to fraction form
    1,787.26/2,679.90 = 616.72/x
  3. Step 3: Cross multiply
    1,787.26x = 2,679.90 × 616.72
  4. Step 4: Simplify right side
    1,787.26x = 1,652,747.93
  5. Step 5: Solve for x
    x = 1,652,747.93/1,787.26
  6. Step 6: Final answer
    x = 924.74

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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.