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Finding the Fourth Proportional to 2,085.31, 3,128.93 and 915.16

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Solution

The fourth proportional to 2,085.31, 3,128.93 and 915.16 is: 1,373.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,085.31 : 3,128.93 = 915.16 : x
  2. Step 2: Convert to fraction form
    2,085.31/3,128.93 = 915.16/x
  3. Step 3: Cross multiply
    2,085.31x = 3,128.93 × 915.16
  4. Step 4: Simplify right side
    2,085.31x = 2,863,471.58
  5. Step 5: Solve for x
    x = 2,863,471.58/2,085.31
  6. Step 6: Final answer
    x = 1,373.16

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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.