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Finding the Fourth Proportional to 2,085.79, 3,129.13 and 787.25

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Solution

The fourth proportional to 2,085.79, 3,129.13 and 787.25 is: 1,181.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.79 : 3,129.13 = 787.25 : x
  2. Step 2: Convert to fraction form
    2,085.79/3,129.13 = 787.25/x
  3. Step 3: Cross multiply
    2,085.79x = 3,129.13 × 787.25
  4. Step 4: Simplify right side
    2,085.79x = 2,463,407.59
  5. Step 5: Solve for x
    x = 2,463,407.59/2,085.79
  6. Step 6: Final answer
    x = 1,181.04

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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.