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Finding the Fourth Proportional to 1,839.77, 2,538.91 and 1,000.47

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Solution

The fourth proportional to 1,839.77, 2,538.91 and 1,000.47 is: 1,380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.77 : 2,538.91 = 1,000.47 : x
  2. Step 2: Convert to fraction form
    1,839.77/2,538.91 = 1,000.47/x
  3. Step 3: Cross multiply
    1,839.77x = 2,538.91 × 1,000.47
  4. Step 4: Simplify right side
    1,839.77x = 2,540,103.29
  5. Step 5: Solve for x
    x = 2,540,103.29/1,839.77
  6. Step 6: Final answer
    x = 1,380.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.