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Finding the Fourth Proportional to 1,584.82, 2,371.56 and 966.52

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Solution

The fourth proportional to 1,584.82, 2,371.56 and 966.52 is: 1,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.82 : 2,371.56 = 966.52 : x
  2. Step 2: Convert to fraction form
    1,584.82/2,371.56 = 966.52/x
  3. Step 3: Cross multiply
    1,584.82x = 2,371.56 × 966.52
  4. Step 4: Simplify right side
    1,584.82x = 2,292,160.17
  5. Step 5: Solve for x
    x = 2,292,160.17/1,584.82
  6. Step 6: Final answer
    x = 1,446.32

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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.