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Finding the Fourth Proportional to 2,678.61, 4,017.92 and 1,759.98

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Solution

The fourth proportional to 2,678.61, 4,017.92 and 1,759.98 is: 2,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.61 : 4,017.92 = 1,759.98 : x
  2. Step 2: Convert to fraction form
    2,678.61/4,017.92 = 1,759.98/x
  3. Step 3: Cross multiply
    2,678.61x = 4,017.92 × 1,759.98
  4. Step 4: Simplify right side
    2,678.61x = 7,071,450.04
  5. Step 5: Solve for x
    x = 7,071,450.04/2,678.61
  6. Step 6: Final answer
    x = 2,639.97

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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.