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Finding the Fourth Proportional to 2,292.42, 3,439.08 and 732.38

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Solution

The fourth proportional to 2,292.42, 3,439.08 and 732.38 is: 1,098.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.42 : 3,439.08 = 732.38 : x
  2. Step 2: Convert to fraction form
    2,292.42/3,439.08 = 732.38/x
  3. Step 3: Cross multiply
    2,292.42x = 3,439.08 × 732.38
  4. Step 4: Simplify right side
    2,292.42x = 2,518,713.41
  5. Step 5: Solve for x
    x = 2,518,713.41/2,292.42
  6. Step 6: Final answer
    x = 1,098.71

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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.