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Finding the Fourth Proportional to 2,039.78, 3,057.93 and 1,259.75

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Solution

The fourth proportional to 2,039.78, 3,057.93 and 1,259.75 is: 1,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039.78 : 3,057.93 = 1,259.75 : x
  2. Step 2: Convert to fraction form
    2,039.78/3,057.93 = 1,259.75/x
  3. Step 3: Cross multiply
    2,039.78x = 3,057.93 × 1,259.75
  4. Step 4: Simplify right side
    2,039.78x = 3,852,227.32
  5. Step 5: Solve for x
    x = 3,852,227.32/2,039.78
  6. Step 6: Final answer
    x = 1,888.55

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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.