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Finding the Fourth Proportional to 2,759.26, 3,807.78 and 1,580.35

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Solution

The fourth proportional to 2,759.26, 3,807.78 and 1,580.35 is: 2,180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.26 : 3,807.78 = 1,580.35 : x
  2. Step 2: Convert to fraction form
    2,759.26/3,807.78 = 1,580.35/x
  3. Step 3: Cross multiply
    2,759.26x = 3,807.78 × 1,580.35
  4. Step 4: Simplify right side
    2,759.26x = 6,017,625.12
  5. Step 5: Solve for x
    x = 6,017,625.12/2,759.26
  6. Step 6: Final answer
    x = 2,180.88

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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.