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Finding the Fourth Proportional to 2,414.96, 3,625.01 and 2,139.11

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Solution

The fourth proportional to 2,414.96, 3,625.01 and 2,139.11 is: 3,210.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.96 : 3,625.01 = 2,139.11 : x
  2. Step 2: Convert to fraction form
    2,414.96/3,625.01 = 2,139.11/x
  3. Step 3: Cross multiply
    2,414.96x = 3,625.01 × 2,139.11
  4. Step 4: Simplify right side
    2,414.96x = 7,754,284.45
  5. Step 5: Solve for x
    x = 7,754,284.45/2,414.96
  6. Step 6: Final answer
    x = 3,210.94

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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.