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Finding the Fourth Proportional to 2,077.52, 3,139.82 and 2,041.68

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Solution

The fourth proportional to 2,077.52, 3,139.82 and 2,041.68 is: 3,085.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.52 : 3,139.82 = 2,041.68 : x
  2. Step 2: Convert to fraction form
    2,077.52/3,139.82 = 2,041.68/x
  3. Step 3: Cross multiply
    2,077.52x = 3,139.82 × 2,041.68
  4. Step 4: Simplify right side
    2,077.52x = 6,410,507.70
  5. Step 5: Solve for x
    x = 6,410,507.70/2,077.52
  6. Step 6: Final answer
    x = 3,085.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.