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Finding the Fourth Proportional to 2,732.36, 4,098.40 and 883.44

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Solution

The fourth proportional to 2,732.36, 4,098.40 and 883.44 is: 1,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,732.36 : 4,098.40 = 883.44 : x
  2. Step 2: Convert to fraction form
    2,732.36/4,098.40 = 883.44/x
  3. Step 3: Cross multiply
    2,732.36x = 4,098.40 × 883.44
  4. Step 4: Simplify right side
    2,732.36x = 3,620,690.50
  5. Step 5: Solve for x
    x = 3,620,690.50/2,732.36
  6. Step 6: Final answer
    x = 1,325.11

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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.