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Finding the Fourth Proportional to 2,077.70, 3,116.55 and 2,059.48

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Solution

The fourth proportional to 2,077.70, 3,116.55 and 2,059.48 is: 3,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.70 : 3,116.55 = 2,059.48 : x
  2. Step 2: Convert to fraction form
    2,077.70/3,116.55 = 2,059.48/x
  3. Step 3: Cross multiply
    2,077.70x = 3,116.55 × 2,059.48
  4. Step 4: Simplify right side
    2,077.70x = 6,418,456.81
  5. Step 5: Solve for x
    x = 6,418,456.81/2,077.70
  6. Step 6: Final answer
    x = 3,089.21

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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.