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Finding the Fourth Proportional to 2,168.78, 3,248.91 and 2,057.00

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Solution

The fourth proportional to 2,168.78, 3,248.91 and 2,057.00 is: 3,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.78 : 3,248.91 = 2,057.00 : x
  2. Step 2: Convert to fraction form
    2,168.78/3,248.91 = 2,057.00/x
  3. Step 3: Cross multiply
    2,168.78x = 3,248.91 × 2,057.00
  4. Step 4: Simplify right side
    2,168.78x = 6,682,991.63
  5. Step 5: Solve for x
    x = 6,682,991.63/2,168.78
  6. Step 6: Final answer
    x = 3,081.46

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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.