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Finding the Fourth Proportional to 2,581.06, 3,871.58 and 732.17

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Solution

The fourth proportional to 2,581.06, 3,871.58 and 732.17 is: 1,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.06 : 3,871.58 = 732.17 : x
  2. Step 2: Convert to fraction form
    2,581.06/3,871.58 = 732.17/x
  3. Step 3: Cross multiply
    2,581.06x = 3,871.58 × 732.17
  4. Step 4: Simplify right side
    2,581.06x = 2,834,651.07
  5. Step 5: Solve for x
    x = 2,834,651.07/2,581.06
  6. Step 6: Final answer
    x = 1,098.25

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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.