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Finding the Fourth Proportional to 2,454.73, 3,388.25 and 1,460.71

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Solution

The fourth proportional to 2,454.73, 3,388.25 and 1,460.71 is: 2,016.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,454.73 : 3,388.25 = 1,460.71 : x
  2. Step 2: Convert to fraction form
    2,454.73/3,388.25 = 1,460.71/x
  3. Step 3: Cross multiply
    2,454.73x = 3,388.25 × 1,460.71
  4. Step 4: Simplify right side
    2,454.73x = 4,949,250.66
  5. Step 5: Solve for x
    x = 4,949,250.66/2,454.73
  6. Step 6: Final answer
    x = 2,016.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.