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Finding the Fourth Proportional to 1,915.70, 2,642.46 and 1,252.53

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Solution

The fourth proportional to 1,915.70, 2,642.46 and 1,252.53 is: 1,727.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.70 : 2,642.46 = 1,252.53 : x
  2. Step 2: Convert to fraction form
    1,915.70/2,642.46 = 1,252.53/x
  3. Step 3: Cross multiply
    1,915.70x = 2,642.46 × 1,252.53
  4. Step 4: Simplify right side
    1,915.70x = 3,309,760.42
  5. Step 5: Solve for x
    x = 3,309,760.42/1,915.70
  6. Step 6: Final answer
    x = 1,727.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.