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Finding the Fourth Proportional to 2,359.80, 3,539.88 and 1,127.76

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Solution

The fourth proportional to 2,359.80, 3,539.88 and 1,127.76 is: 1,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.80 : 3,539.88 = 1,127.76 : x
  2. Step 2: Convert to fraction form
    2,359.80/3,539.88 = 1,127.76/x
  3. Step 3: Cross multiply
    2,359.80x = 3,539.88 × 1,127.76
  4. Step 4: Simplify right side
    2,359.80x = 3,992,135.07
  5. Step 5: Solve for x
    x = 3,992,135.07/2,359.80
  6. Step 6: Final answer
    x = 1,691.73

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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.