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Finding the Fourth Proportional to 2,117.96, 3,176.96 and 732.88

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Solution

The fourth proportional to 2,117.96, 3,176.96 and 732.88 is: 1,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.96 : 3,176.96 = 732.88 : x
  2. Step 2: Convert to fraction form
    2,117.96/3,176.96 = 732.88/x
  3. Step 3: Cross multiply
    2,117.96x = 3,176.96 × 732.88
  4. Step 4: Simplify right side
    2,117.96x = 2,328,330.44
  5. Step 5: Solve for x
    x = 2,328,330.44/2,117.96
  6. Step 6: Final answer
    x = 1,099.33

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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.