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Finding the Fourth Proportional to 2,592.38, 3,888.57 and 2,069.93

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Solution

The fourth proportional to 2,592.38, 3,888.57 and 2,069.93 is: 3,104.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,592.38 : 3,888.57 = 2,069.93 : x
  2. Step 2: Convert to fraction form
    2,592.38/3,888.57 = 2,069.93/x
  3. Step 3: Cross multiply
    2,592.38x = 3,888.57 × 2,069.93
  4. Step 4: Simplify right side
    2,592.38x = 8,049,081.92
  5. Step 5: Solve for x
    x = 8,049,081.92/2,592.38
  6. Step 6: Final answer
    x = 3,104.90

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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.