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Finding the Fourth Proportional to 3,097.62, 4,648.08 and 1,454.19

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Solution

The fourth proportional to 3,097.62, 4,648.08 and 1,454.19 is: 2,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.62 : 4,648.08 = 1,454.19 : x
  2. Step 2: Convert to fraction form
    3,097.62/4,648.08 = 1,454.19/x
  3. Step 3: Cross multiply
    3,097.62x = 4,648.08 × 1,454.19
  4. Step 4: Simplify right side
    3,097.62x = 6,759,179.48
  5. Step 5: Solve for x
    x = 6,759,179.48/3,097.62
  6. Step 6: Final answer
    x = 2,182.06

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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.