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Finding the Fourth Proportional to 3,193.32, 4,789.98 and 1,461

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Solution

The fourth proportional to 3,193.32, 4,789.98 and 1,461 is: 2,191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.32 : 4,789.98 = 1,461 : x
  2. Step 2: Convert to fraction form
    3,193.32/4,789.98 = 1,461/x
  3. Step 3: Cross multiply
    3,193.32x = 4,789.98 × 1,461
  4. Step 4: Simplify right side
    3,193.32x = 6,998,160.78
  5. Step 5: Solve for x
    x = 6,998,160.78/3,193.32
  6. Step 6: Final answer
    x = 2,191.50

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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.