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Finding the Fourth Proportional to 2,242.38, 3,363.32 and 599.07

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Solution

The fourth proportional to 2,242.38, 3,363.32 and 599.07 is: 898.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.38 : 3,363.32 = 599.07 : x
  2. Step 2: Convert to fraction form
    2,242.38/3,363.32 = 599.07/x
  3. Step 3: Cross multiply
    2,242.38x = 3,363.32 × 599.07
  4. Step 4: Simplify right side
    2,242.38x = 2,014,865.61
  5. Step 5: Solve for x
    x = 2,014,865.61/2,242.38
  6. Step 6: Final answer
    x = 898.54

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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.