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Finding the Fourth Proportional to 1,787.29, 2,680.26 and 747.36

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Solution

The fourth proportional to 1,787.29, 2,680.26 and 747.36 is: 1,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.29 : 2,680.26 = 747.36 : x
  2. Step 2: Convert to fraction form
    1,787.29/2,680.26 = 747.36/x
  3. Step 3: Cross multiply
    1,787.29x = 2,680.26 × 747.36
  4. Step 4: Simplify right side
    1,787.29x = 2,003,120.51
  5. Step 5: Solve for x
    x = 2,003,120.51/1,787.29
  6. Step 6: Final answer
    x = 1,120.76

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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.