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Finding the Fourth Proportional to 2,414.49, 3,624.17 and 1,763.25

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Solution

The fourth proportional to 2,414.49, 3,624.17 and 1,763.25 is: 2,646.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.49 : 3,624.17 = 1,763.25 : x
  2. Step 2: Convert to fraction form
    2,414.49/3,624.17 = 1,763.25/x
  3. Step 3: Cross multiply
    2,414.49x = 3,624.17 × 1,763.25
  4. Step 4: Simplify right side
    2,414.49x = 6,390,308.94
  5. Step 5: Solve for x
    x = 6,390,308.94/2,414.49
  6. Step 6: Final answer
    x = 2,646.65

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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.