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Finding the Fourth Proportional to 3,073.67, 4,238.31 and 2,077.22

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Solution

The fourth proportional to 3,073.67, 4,238.31 and 2,077.22 is: 2,864.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073.67 : 4,238.31 = 2,077.22 : x
  2. Step 2: Convert to fraction form
    3,073.67/4,238.31 = 2,077.22/x
  3. Step 3: Cross multiply
    3,073.67x = 4,238.31 × 2,077.22
  4. Step 4: Simplify right side
    3,073.67x = 8,803,881.11
  5. Step 5: Solve for x
    x = 8,803,881.11/3,073.67
  6. Step 6: Final answer
    x = 2,864.29

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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.