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Finding the Fourth Proportional to 3,432.04, 5,148.08 and 966.88

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Solution

The fourth proportional to 3,432.04, 5,148.08 and 966.88 is: 1,450.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.04 : 5,148.08 = 966.88 : x
  2. Step 2: Convert to fraction form
    3,432.04/5,148.08 = 966.88/x
  3. Step 3: Cross multiply
    3,432.04x = 5,148.08 × 966.88
  4. Step 4: Simplify right side
    3,432.04x = 4,977,575.59
  5. Step 5: Solve for x
    x = 4,977,575.59/3,432.04
  6. Step 6: Final answer
    x = 1,450.33

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1.5x scale

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.