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Finding the Fourth Proportional to 2,242.73, 3,364.26 and 599.24

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Solution

The fourth proportional to 2,242.73, 3,364.26 and 599.24 is: 898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.73 : 3,364.26 = 599.24 : x
  2. Step 2: Convert to fraction form
    2,242.73/3,364.26 = 599.24/x
  3. Step 3: Cross multiply
    2,242.73x = 3,364.26 × 599.24
  4. Step 4: Simplify right side
    2,242.73x = 2,015,980.09
  5. Step 5: Solve for x
    x = 2,015,980.09/2,242.73
  6. Step 6: Final answer
    x = 898.90

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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.