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Finding the Fourth Proportional to 3,432.66, 5,148.38 and 966.89

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Solution

The fourth proportional to 3,432.66, 5,148.38 and 966.89 is: 1,450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,432.66 : 5,148.38 = 966.89 : x
  2. Step 2: Convert to fraction form
    3,432.66/5,148.38 = 966.89/x
  3. Step 3: Cross multiply
    3,432.66x = 5,148.38 × 966.89
  4. Step 4: Simplify right side
    3,432.66x = 4,977,898.03
  5. Step 5: Solve for x
    x = 4,977,898.03/3,432.66
  6. Step 6: Final answer
    x = 1,450.16

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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.