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Finding the Fourth Proportional to 2,480.23, 3,742.86 and 2,397.61

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Solution

The fourth proportional to 2,480.23, 3,742.86 and 2,397.61 is: 3,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.23 : 3,742.86 = 2,397.61 : x
  2. Step 2: Convert to fraction form
    2,480.23/3,742.86 = 2,397.61/x
  3. Step 3: Cross multiply
    2,480.23x = 3,742.86 × 2,397.61
  4. Step 4: Simplify right side
    2,480.23x = 8,973,906.58
  5. Step 5: Solve for x
    x = 8,973,906.58/2,480.23
  6. Step 6: Final answer
    x = 3,618.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.