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Finding the Fourth Proportional to 2,606.35, 3,909.77 and 732.24

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Solution

The fourth proportional to 2,606.35, 3,909.77 and 732.24 is: 1,098.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.35 : 3,909.77 = 732.24 : x
  2. Step 2: Convert to fraction form
    2,606.35/3,909.77 = 732.24/x
  3. Step 3: Cross multiply
    2,606.35x = 3,909.77 × 732.24
  4. Step 4: Simplify right side
    2,606.35x = 2,862,872.27
  5. Step 5: Solve for x
    x = 2,862,872.27/2,606.35
  6. Step 6: Final answer
    x = 1,098.42

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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.