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Finding the Fourth Proportional to 1,660.52, 2,489.20 and 619.82

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Solution

The fourth proportional to 1,660.52, 2,489.20 and 619.82 is: 929.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.52 : 2,489.20 = 619.82 : x
  2. Step 2: Convert to fraction form
    1,660.52/2,489.20 = 619.82/x
  3. Step 3: Cross multiply
    1,660.52x = 2,489.20 × 619.82
  4. Step 4: Simplify right side
    1,660.52x = 1,542,855.94
  5. Step 5: Solve for x
    x = 1,542,855.94/1,660.52
  6. Step 6: Final answer
    x = 929.14

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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.