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Finding the Fourth Proportional to 3,432.82, 5,148.45 and 967.90

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Solution

The fourth proportional to 3,432.82, 5,148.45 and 967.90 is: 1,451.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.82 : 5,148.45 = 967.90 : x
  2. Step 2: Convert to fraction form
    3,432.82/5,148.45 = 967.90/x
  3. Step 3: Cross multiply
    3,432.82x = 5,148.45 × 967.90
  4. Step 4: Simplify right side
    3,432.82x = 4,983,184.76
  5. Step 5: Solve for x
    x = 4,983,184.76/3,432.82
  6. Step 6: Final answer
    x = 1,451.63

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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.