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Finding the Fourth Proportional to 2,085.38, 3,128.91 and 787.22

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Solution

The fourth proportional to 2,085.38, 3,128.91 and 787.22 is: 1,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.38 : 3,128.91 = 787.22 : x
  2. Step 2: Convert to fraction form
    2,085.38/3,128.91 = 787.22/x
  3. Step 3: Cross multiply
    2,085.38x = 3,128.91 × 787.22
  4. Step 4: Simplify right side
    2,085.38x = 2,463,140.53
  5. Step 5: Solve for x
    x = 2,463,140.53/2,085.38
  6. Step 6: Final answer
    x = 1,181.15

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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.