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Finding the Fourth Proportional to 2,271.70, 3,407.55 and 732.70

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Solution

The fourth proportional to 2,271.70, 3,407.55 and 732.70 is: 1,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.70 : 3,407.55 = 732.70 : x
  2. Step 2: Convert to fraction form
    2,271.70/3,407.55 = 732.70/x
  3. Step 3: Cross multiply
    2,271.70x = 3,407.55 × 732.70
  4. Step 4: Simplify right side
    2,271.70x = 2,496,711.89
  5. Step 5: Solve for x
    x = 2,496,711.89/2,271.70
  6. Step 6: Final answer
    x = 1,099.05

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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.