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Finding the Fourth Proportional to 2,376.50, 3,564.41 and 732.92

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Solution

The fourth proportional to 2,376.50, 3,564.41 and 732.92 is: 1,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.50 : 3,564.41 = 732.92 : x
  2. Step 2: Convert to fraction form
    2,376.50/3,564.41 = 732.92/x
  3. Step 3: Cross multiply
    2,376.50x = 3,564.41 × 732.92
  4. Step 4: Simplify right side
    2,376.50x = 2,612,405.89
  5. Step 5: Solve for x
    x = 2,612,405.89/2,376.50
  6. Step 6: Final answer
    x = 1,099.27

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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.