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Finding the Fourth Proportional to 2,242.76, 3,363.72 and 599.44

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Solution

The fourth proportional to 2,242.76, 3,363.72 and 599.44 is: 899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.76 : 3,363.72 = 599.44 : x
  2. Step 2: Convert to fraction form
    2,242.76/3,363.72 = 599.44/x
  3. Step 3: Cross multiply
    2,242.76x = 3,363.72 × 599.44
  4. Step 4: Simplify right side
    2,242.76x = 2,016,348.32
  5. Step 5: Solve for x
    x = 2,016,348.32/2,242.76
  6. Step 6: Final answer
    x = 899.05

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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.