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Finding the Fourth Proportional to 3,097.49, 4,638.95 and 2,443.82

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Solution

The fourth proportional to 3,097.49, 4,638.95 and 2,443.82 is: 3,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.49 : 4,638.95 = 2,443.82 : x
  2. Step 2: Convert to fraction form
    3,097.49/4,638.95 = 2,443.82/x
  3. Step 3: Cross multiply
    3,097.49x = 4,638.95 × 2,443.82
  4. Step 4: Simplify right side
    3,097.49x = 11,336,746.57
  5. Step 5: Solve for x
    x = 11,336,746.57/3,097.49
  6. Step 6: Final answer
    x = 3,659.98

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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.