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Finding the Fourth Proportional to 2,440.81, 3,657.52 and 1,616.13

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Solution

The fourth proportional to 2,440.81, 3,657.52 and 1,616.13 is: 2,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,440.81 : 3,657.52 = 1,616.13 : x
  2. Step 2: Convert to fraction form
    2,440.81/3,657.52 = 1,616.13/x
  3. Step 3: Cross multiply
    2,440.81x = 3,657.52 × 1,616.13
  4. Step 4: Simplify right side
    2,440.81x = 5,911,027.80
  5. Step 5: Solve for x
    x = 5,911,027.80/2,440.81
  6. Step 6: Final answer
    x = 2,421.75

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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.