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Finding the Fourth Proportional to 2,414.88, 3,615.03 and 1,709.57

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Solution

The fourth proportional to 2,414.88, 3,615.03 and 1,709.57 is: 2,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414.88 : 3,615.03 = 1,709.57 : x
  2. Step 2: Convert to fraction form
    2,414.88/3,615.03 = 1,709.57/x
  3. Step 3: Cross multiply
    2,414.88x = 3,615.03 × 1,709.57
  4. Step 4: Simplify right side
    2,414.88x = 6,180,155.87
  5. Step 5: Solve for x
    x = 6,180,155.87/2,414.88
  6. Step 6: Final answer
    x = 2,559.20

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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.