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Finding the Fourth Proportional to 2,732.40, 4,098.87 and 883.44

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Solution

The fourth proportional to 2,732.40, 4,098.87 and 883.44 is: 1,325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.40 : 4,098.87 = 883.44 : x
  2. Step 2: Convert to fraction form
    2,732.40/4,098.87 = 883.44/x
  3. Step 3: Cross multiply
    2,732.40x = 4,098.87 × 883.44
  4. Step 4: Simplify right side
    2,732.40x = 3,621,105.71
  5. Step 5: Solve for x
    x = 3,621,105.71/2,732.40
  6. Step 6: Final answer
    x = 1,325.25

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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.