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Finding the Fourth Proportional to 2,242.71, 3,363.57 and 599.13

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Solution

The fourth proportional to 2,242.71, 3,363.57 and 599.13 is: 898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.71 : 3,363.57 = 599.13 : x
  2. Step 2: Convert to fraction form
    2,242.71/3,363.57 = 599.13/x
  3. Step 3: Cross multiply
    2,242.71x = 3,363.57 × 599.13
  4. Step 4: Simplify right side
    2,242.71x = 2,015,215.69
  5. Step 5: Solve for x
    x = 2,015,215.69/2,242.71
  6. Step 6: Final answer
    x = 898.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.