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Finding the Fourth Proportional to 1,412.76, 1,948.98 and 915.42

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Solution

The fourth proportional to 1,412.76, 1,948.98 and 915.42 is: 1,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.76 : 1,948.98 = 915.42 : x
  2. Step 2: Convert to fraction form
    1,412.76/1,948.98 = 915.42/x
  3. Step 3: Cross multiply
    1,412.76x = 1,948.98 × 915.42
  4. Step 4: Simplify right side
    1,412.76x = 1,784,135.27
  5. Step 5: Solve for x
    x = 1,784,135.27/1,412.76
  6. Step 6: Final answer
    x = 1,262.87

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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.