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Finding the Fourth Proportional to 2,057.81, 3,085.70 and 1,278.79

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Solution

The fourth proportional to 2,057.81, 3,085.70 and 1,278.79 is: 1,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.81 : 3,085.70 = 1,278.79 : x
  2. Step 2: Convert to fraction form
    2,057.81/3,085.70 = 1,278.79/x
  3. Step 3: Cross multiply
    2,057.81x = 3,085.70 × 1,278.79
  4. Step 4: Simplify right side
    2,057.81x = 3,945,948.19
  5. Step 5: Solve for x
    x = 3,945,948.19/2,057.81
  6. Step 6: Final answer
    x = 1,917.55

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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.