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Finding the Fourth Proportional to 2,764.71, 4,146.48 and 915.39

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Solution

The fourth proportional to 2,764.71, 4,146.48 and 915.39 is: 1,372.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.71 : 4,146.48 = 915.39 : x
  2. Step 2: Convert to fraction form
    2,764.71/4,146.48 = 915.39/x
  3. Step 3: Cross multiply
    2,764.71x = 4,146.48 × 915.39
  4. Step 4: Simplify right side
    2,764.71x = 3,795,646.33
  5. Step 5: Solve for x
    x = 3,795,646.33/2,764.71
  6. Step 6: Final answer
    x = 1,372.89

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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.