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Finding the Fourth Proportional to 2,647.52, 3,970.56 and 915.92

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Solution

The fourth proportional to 2,647.52, 3,970.56 and 915.92 is: 1,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.52 : 3,970.56 = 915.92 : x
  2. Step 2: Convert to fraction form
    2,647.52/3,970.56 = 915.92/x
  3. Step 3: Cross multiply
    2,647.52x = 3,970.56 × 915.92
  4. Step 4: Simplify right side
    2,647.52x = 3,636,715.32
  5. Step 5: Solve for x
    x = 3,636,715.32/2,647.52
  6. Step 6: Final answer
    x = 1,373.63

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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.