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Finding the Fourth Proportional to 1,839.13, 2,758.69 and 471.13

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Solution

The fourth proportional to 1,839.13, 2,758.69 and 471.13 is: 706.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.13 : 2,758.69 = 471.13 : x
  2. Step 2: Convert to fraction form
    1,839.13/2,758.69 = 471.13/x
  3. Step 3: Cross multiply
    1,839.13x = 2,758.69 × 471.13
  4. Step 4: Simplify right side
    1,839.13x = 1,299,687.83
  5. Step 5: Solve for x
    x = 1,299,687.83/1,839.13
  6. Step 6: Final answer
    x = 706.69

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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.