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Finding the Fourth Proportional to 2,241.43, 3,362.55 and 925.18

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Solution

The fourth proportional to 2,241.43, 3,362.55 and 925.18 is: 1,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.43 : 3,362.55 = 925.18 : x
  2. Step 2: Convert to fraction form
    2,241.43/3,362.55 = 925.18/x
  3. Step 3: Cross multiply
    2,241.43x = 3,362.55 × 925.18
  4. Step 4: Simplify right side
    2,241.43x = 3,110,964.01
  5. Step 5: Solve for x
    x = 3,110,964.01/2,241.43
  6. Step 6: Final answer
    x = 1,387.94

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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.