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Finding the Fourth Proportional to 2,835.78, 3,909.76 and 2,077.18

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Solution

The fourth proportional to 2,835.78, 3,909.76 and 2,077.18 is: 2,863.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.78 : 3,909.76 = 2,077.18 : x
  2. Step 2: Convert to fraction form
    2,835.78/3,909.76 = 2,077.18/x
  3. Step 3: Cross multiply
    2,835.78x = 3,909.76 × 2,077.18
  4. Step 4: Simplify right side
    2,835.78x = 8,121,275.28
  5. Step 5: Solve for x
    x = 8,121,275.28/2,835.78
  6. Step 6: Final answer
    x = 2,863.86

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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.