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Finding the Fourth Proportional to 1,521.68, 2,286.16 and 974.92

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Solution

The fourth proportional to 1,521.68, 2,286.16 and 974.92 is: 1,464.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.68 : 2,286.16 = 974.92 : x
  2. Step 2: Convert to fraction form
    1,521.68/2,286.16 = 974.92/x
  3. Step 3: Cross multiply
    1,521.68x = 2,286.16 × 974.92
  4. Step 4: Simplify right side
    1,521.68x = 2,228,823.11
  5. Step 5: Solve for x
    x = 2,228,823.11/1,521.68
  6. Step 6: Final answer
    x = 1,464.71

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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.