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Finding the Fourth Proportional to 2,414.59, 3,621.61 and 1,639.57

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Solution

The fourth proportional to 2,414.59, 3,621.61 and 1,639.57 is: 2,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.59 : 3,621.61 = 1,639.57 : x
  2. Step 2: Convert to fraction form
    2,414.59/3,621.61 = 1,639.57/x
  3. Step 3: Cross multiply
    2,414.59x = 3,621.61 × 1,639.57
  4. Step 4: Simplify right side
    2,414.59x = 5,937,883.11
  5. Step 5: Solve for x
    x = 5,937,883.11/2,414.59
  6. Step 6: Final answer
    x = 2,459.17

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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.