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Finding the Fourth Proportional to 1,521.39, 2,282.10 and 974.64

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Solution

The fourth proportional to 1,521.39, 2,282.10 and 974.64 is: 1,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.39 : 2,282.10 = 974.64 : x
  2. Step 2: Convert to fraction form
    1,521.39/2,282.10 = 974.64/x
  3. Step 3: Cross multiply
    1,521.39x = 2,282.10 × 974.64
  4. Step 4: Simplify right side
    1,521.39x = 2,224,230.85
  5. Step 5: Solve for x
    x = 2,224,230.85/1,521.39
  6. Step 6: Final answer
    x = 1,461.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.