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Finding the Fourth Proportional to 2,398.61, 3,591.43 and 1,241.93

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Solution

The fourth proportional to 2,398.61, 3,591.43 and 1,241.93 is: 1,859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.61 : 3,591.43 = 1,241.93 : x
  2. Step 2: Convert to fraction form
    2,398.61/3,591.43 = 1,241.93/x
  3. Step 3: Cross multiply
    2,398.61x = 3,591.43 × 1,241.93
  4. Step 4: Simplify right side
    2,398.61x = 4,460,310.53
  5. Step 5: Solve for x
    x = 4,460,310.53/2,398.61
  6. Step 6: Final answer
    x = 1,859.54

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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.