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Finding the Fourth Proportional to 1,578.31, 2,177.87 and 915.07

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Solution

The fourth proportional to 1,578.31, 2,177.87 and 915.07 is: 1,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.31 : 2,177.87 = 915.07 : x
  2. Step 2: Convert to fraction form
    1,578.31/2,177.87 = 915.07/x
  3. Step 3: Cross multiply
    1,578.31x = 2,177.87 × 915.07
  4. Step 4: Simplify right side
    1,578.31x = 1,992,900.34
  5. Step 5: Solve for x
    x = 1,992,900.34/1,578.31
  6. Step 6: Final answer
    x = 1,262.68

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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.