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Finding the Fourth Proportional to 2,154.52, 3,231.80 and 594.61

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Solution

The fourth proportional to 2,154.52, 3,231.80 and 594.61 is: 891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.52 : 3,231.80 = 594.61 : x
  2. Step 2: Convert to fraction form
    2,154.52/3,231.80 = 594.61/x
  3. Step 3: Cross multiply
    2,154.52x = 3,231.80 × 594.61
  4. Step 4: Simplify right side
    2,154.52x = 1,921,660.60
  5. Step 5: Solve for x
    x = 1,921,660.60/2,154.52
  6. Step 6: Final answer
    x = 891.92

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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.