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Finding the Fourth Proportional to 1,241.11, 1,859.23 and 592.30

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Solution

The fourth proportional to 1,241.11, 1,859.23 and 592.30 is: 887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.11 : 1,859.23 = 592.30 : x
  2. Step 2: Convert to fraction form
    1,241.11/1,859.23 = 592.30/x
  3. Step 3: Cross multiply
    1,241.11x = 1,859.23 × 592.30
  4. Step 4: Simplify right side
    1,241.11x = 1,101,221.93
  5. Step 5: Solve for x
    x = 1,101,221.93/1,241.11
  6. Step 6: Final answer
    x = 887.29

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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.