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Finding the Fourth Proportional to 2,377.20, 3,564.32 and 733.28

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Solution

The fourth proportional to 2,377.20, 3,564.32 and 733.28 is: 1,099.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.20 : 3,564.32 = 733.28 : x
  2. Step 2: Convert to fraction form
    2,377.20/3,564.32 = 733.28/x
  3. Step 3: Cross multiply
    2,377.20x = 3,564.32 × 733.28
  4. Step 4: Simplify right side
    2,377.20x = 2,613,644.57
  5. Step 5: Solve for x
    x = 2,613,644.57/2,377.20
  6. Step 6: Final answer
    x = 1,099.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.