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Finding the Fourth Proportional to 2,592.78, 3,888.38 and 743.40

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Solution

The fourth proportional to 2,592.78, 3,888.38 and 743.40 is: 1,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.78 : 3,888.38 = 743.40 : x
  2. Step 2: Convert to fraction form
    2,592.78/3,888.38 = 743.40/x
  3. Step 3: Cross multiply
    2,592.78x = 3,888.38 × 743.40
  4. Step 4: Simplify right side
    2,592.78x = 2,890,627.70
  5. Step 5: Solve for x
    x = 2,890,627.70/2,592.78
  6. Step 6: Final answer
    x = 1,114.87

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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.