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Finding the Fourth Proportional to 2,241.59, 3,362.56 and 598.12

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Solution

The fourth proportional to 2,241.59, 3,362.56 and 598.12 is: 897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.59 : 3,362.56 = 598.12 : x
  2. Step 2: Convert to fraction form
    2,241.59/3,362.56 = 598.12/x
  3. Step 3: Cross multiply
    2,241.59x = 3,362.56 × 598.12
  4. Step 4: Simplify right side
    2,241.59x = 2,011,204.49
  5. Step 5: Solve for x
    x = 2,011,204.49/2,241.59
  6. Step 6: Final answer
    x = 897.22

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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.