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Finding the Fourth Proportional to 2,301.24, 3,453.10 and 915.32

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Solution

The fourth proportional to 2,301.24, 3,453.10 and 915.32 is: 1,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.24 : 3,453.10 = 915.32 : x
  2. Step 2: Convert to fraction form
    2,301.24/3,453.10 = 915.32/x
  3. Step 3: Cross multiply
    2,301.24x = 3,453.10 × 915.32
  4. Step 4: Simplify right side
    2,301.24x = 3,160,691.49
  5. Step 5: Solve for x
    x = 3,160,691.49/2,301.24
  6. Step 6: Final answer
    x = 1,373.47

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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.