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Finding the Fourth Proportional to 2,207.92, 3,312.06 and 747.16

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Solution

The fourth proportional to 2,207.92, 3,312.06 and 747.16 is: 1,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.92 : 3,312.06 = 747.16 : x
  2. Step 2: Convert to fraction form
    2,207.92/3,312.06 = 747.16/x
  3. Step 3: Cross multiply
    2,207.92x = 3,312.06 × 747.16
  4. Step 4: Simplify right side
    2,207.92x = 2,474,638.75
  5. Step 5: Solve for x
    x = 2,474,638.75/2,207.92
  6. Step 6: Final answer
    x = 1,120.80

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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.