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Finding the Fourth Proportional to 1,519.67, 2,283.15 and 972.92

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Solution

The fourth proportional to 1,519.67, 2,283.15 and 972.92 is: 1,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.67 : 2,283.15 = 972.92 : x
  2. Step 2: Convert to fraction form
    1,519.67/2,283.15 = 972.92/x
  3. Step 3: Cross multiply
    1,519.67x = 2,283.15 × 972.92
  4. Step 4: Simplify right side
    1,519.67x = 2,221,322.30
  5. Step 5: Solve for x
    x = 2,221,322.30/1,519.67
  6. Step 6: Final answer
    x = 1,461.71

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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.