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Finding the Fourth Proportional to 2,440.69, 3,654.87 and 1,616.47

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Solution

The fourth proportional to 2,440.69, 3,654.87 and 1,616.47 is: 2,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.69 : 3,654.87 = 1,616.47 : x
  2. Step 2: Convert to fraction form
    2,440.69/3,654.87 = 1,616.47/x
  3. Step 3: Cross multiply
    2,440.69x = 3,654.87 × 1,616.47
  4. Step 4: Simplify right side
    2,440.69x = 5,907,987.71
  5. Step 5: Solve for x
    x = 5,907,987.71/2,440.69
  6. Step 6: Final answer
    x = 2,420.62

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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.