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Finding the Fourth Proportional to 1,462.65, 2,193.90 and 1,052.52

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Solution

The fourth proportional to 1,462.65, 2,193.90 and 1,052.52 is: 1,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.65 : 2,193.90 = 1,052.52 : x
  2. Step 2: Convert to fraction form
    1,462.65/2,193.90 = 1,052.52/x
  3. Step 3: Cross multiply
    1,462.65x = 2,193.90 × 1,052.52
  4. Step 4: Simplify right side
    1,462.65x = 2,309,123.63
  5. Step 5: Solve for x
    x = 2,309,123.63/1,462.65
  6. Step 6: Final answer
    x = 1,578.73

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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.