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Finding the Fourth Proportional to 2,167.59, 3,251.39 and 1,737.48

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Solution

The fourth proportional to 2,167.59, 3,251.39 and 1,737.48 is: 2,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.59 : 3,251.39 = 1,737.48 : x
  2. Step 2: Convert to fraction form
    2,167.59/3,251.39 = 1,737.48/x
  3. Step 3: Cross multiply
    2,167.59x = 3,251.39 × 1,737.48
  4. Step 4: Simplify right side
    2,167.59x = 5,649,225.10
  5. Step 5: Solve for x
    x = 5,649,225.10/2,167.59
  6. Step 6: Final answer
    x = 2,606.22

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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.