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Finding the Fourth Proportional to 2,241.61, 3,359.68 and 1,264.75

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Solution

The fourth proportional to 2,241.61, 3,359.68 and 1,264.75 is: 1,895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.61 : 3,359.68 = 1,264.75 : x
  2. Step 2: Convert to fraction form
    2,241.61/3,359.68 = 1,264.75/x
  3. Step 3: Cross multiply
    2,241.61x = 3,359.68 × 1,264.75
  4. Step 4: Simplify right side
    2,241.61x = 4,249,143.72
  5. Step 5: Solve for x
    x = 4,249,143.72/2,241.61
  6. Step 6: Final answer
    x = 1,895.58

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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.