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Finding the Fourth Proportional to 2,292.08, 3,438.31 and 732.30

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Solution

The fourth proportional to 2,292.08, 3,438.31 and 732.30 is: 1,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.08 : 3,438.31 = 732.30 : x
  2. Step 2: Convert to fraction form
    2,292.08/3,438.31 = 732.30/x
  3. Step 3: Cross multiply
    2,292.08x = 3,438.31 × 732.30
  4. Step 4: Simplify right side
    2,292.08x = 2,517,874.41
  5. Step 5: Solve for x
    x = 2,517,874.41/2,292.08
  6. Step 6: Final answer
    x = 1,098.51

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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.