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Finding the Fourth Proportional to 2,539.72, 3,806.91 and 2,416.55

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Solution

The fourth proportional to 2,539.72, 3,806.91 and 2,416.55 is: 3,622.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.72 : 3,806.91 = 2,416.55 : x
  2. Step 2: Convert to fraction form
    2,539.72/3,806.91 = 2,416.55/x
  3. Step 3: Cross multiply
    2,539.72x = 3,806.91 × 2,416.55
  4. Step 4: Simplify right side
    2,539.72x = 9,199,569.33
  5. Step 5: Solve for x
    x = 9,199,569.33/2,539.72
  6. Step 6: Final answer
    x = 3,622.28

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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.