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Finding the Fourth Proportional to 2,592.90, 3,888.79 and 743.99

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Solution

The fourth proportional to 2,592.90, 3,888.79 and 743.99 is: 1,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.90 : 3,888.79 = 743.99 : x
  2. Step 2: Convert to fraction form
    2,592.90/3,888.79 = 743.99/x
  3. Step 3: Cross multiply
    2,592.90x = 3,888.79 × 743.99
  4. Step 4: Simplify right side
    2,592.90x = 2,893,199.57
  5. Step 5: Solve for x
    x = 2,893,199.57/2,592.90
  6. Step 6: Final answer
    x = 1,115.82

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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.