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Finding the Fourth Proportional to 2,027.76, 3,022.14 and 2,024.52

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Solution

The fourth proportional to 2,027.76, 3,022.14 and 2,024.52 is: 3,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027.76 : 3,022.14 = 2,024.52 : x
  2. Step 2: Convert to fraction form
    2,027.76/3,022.14 = 2,024.52/x
  3. Step 3: Cross multiply
    2,027.76x = 3,022.14 × 2,024.52
  4. Step 4: Simplify right side
    2,027.76x = 6,118,382.87
  5. Step 5: Solve for x
    x = 6,118,382.87/2,027.76
  6. Step 6: Final answer
    x = 3,017.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.