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Finding the Fourth Proportional to 2,085.90, 3,129.71 and 915.29

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Solution

The fourth proportional to 2,085.90, 3,129.71 and 915.29 is: 1,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.90 : 3,129.71 = 915.29 : x
  2. Step 2: Convert to fraction form
    2,085.90/3,129.71 = 915.29/x
  3. Step 3: Cross multiply
    2,085.90x = 3,129.71 × 915.29
  4. Step 4: Simplify right side
    2,085.90x = 2,864,592.27
  5. Step 5: Solve for x
    x = 2,864,592.27/2,085.90
  6. Step 6: Final answer
    x = 1,373.31

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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.