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Finding the Fourth Proportional to 2,539.90, 3,799.31 and 2,384.38

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Solution

The fourth proportional to 2,539.90, 3,799.31 and 2,384.38 is: 3,566.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.90 : 3,799.31 = 2,384.38 : x
  2. Step 2: Convert to fraction form
    2,539.90/3,799.31 = 2,384.38/x
  3. Step 3: Cross multiply
    2,539.90x = 3,799.31 × 2,384.38
  4. Step 4: Simplify right side
    2,539.90x = 9,058,979.78
  5. Step 5: Solve for x
    x = 9,058,979.78/2,539.90
  6. Step 6: Final answer
    x = 3,566.67

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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.