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Finding the Fourth Proportional to 2,077.87, 2,866.17 and 1,238.00

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Solution

The fourth proportional to 2,077.87, 2,866.17 and 1,238.00 is: 1,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.87 : 2,866.17 = 1,238.00 : x
  2. Step 2: Convert to fraction form
    2,077.87/2,866.17 = 1,238.00/x
  3. Step 3: Cross multiply
    2,077.87x = 2,866.17 × 1,238.00
  4. Step 4: Simplify right side
    2,077.87x = 3,548,330.27
  5. Step 5: Solve for x
    x = 3,548,330.27/2,077.87
  6. Step 6: Final answer
    x = 1,707.68

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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.