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Finding the Fourth Proportional to 2,424.87, 3,640.41 and 2,019.06

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Solution

The fourth proportional to 2,424.87, 3,640.41 and 2,019.06 is: 3,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.87 : 3,640.41 = 2,019.06 : x
  2. Step 2: Convert to fraction form
    2,424.87/3,640.41 = 2,019.06/x
  3. Step 3: Cross multiply
    2,424.87x = 3,640.41 × 2,019.06
  4. Step 4: Simplify right side
    2,424.87x = 7,350,206.21
  5. Step 5: Solve for x
    x = 7,350,206.21/2,424.87
  6. Step 6: Final answer
    x = 3,031.18

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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.