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Finding the Fourth Proportional to 2,686.80, 4,007.23 and 2,359.89

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Solution

The fourth proportional to 2,686.80, 4,007.23 and 2,359.89 is: 3,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.80 : 4,007.23 = 2,359.89 : x
  2. Step 2: Convert to fraction form
    2,686.80/4,007.23 = 2,359.89/x
  3. Step 3: Cross multiply
    2,686.80x = 4,007.23 × 2,359.89
  4. Step 4: Simplify right side
    2,686.80x = 9,456,617.11
  5. Step 5: Solve for x
    x = 9,456,617.11/2,686.80
  6. Step 6: Final answer
    x = 3,519.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.