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Finding the Fourth Proportional to 2,139.57, 2,960.71 and 1,824.35

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Solution

The fourth proportional to 2,139.57, 2,960.71 and 1,824.35 is: 2,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.57 : 2,960.71 = 1,824.35 : x
  2. Step 2: Convert to fraction form
    2,139.57/2,960.71 = 1,824.35/x
  3. Step 3: Cross multiply
    2,139.57x = 2,960.71 × 1,824.35
  4. Step 4: Simplify right side
    2,139.57x = 5,401,351.92
  5. Step 5: Solve for x
    x = 5,401,351.92/2,139.57
  6. Step 6: Final answer
    x = 2,524.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.