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Finding the Fourth Proportional to 2,701.60, 3,724.60 and 2,026.53

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Solution

The fourth proportional to 2,701.60, 3,724.60 and 2,026.53 is: 2,793.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.60 : 3,724.60 = 2,026.53 : x
  2. Step 2: Convert to fraction form
    2,701.60/3,724.60 = 2,026.53/x
  3. Step 3: Cross multiply
    2,701.60x = 3,724.60 × 2,026.53
  4. Step 4: Simplify right side
    2,701.60x = 7,548,013.64
  5. Step 5: Solve for x
    x = 7,548,013.64/2,701.60
  6. Step 6: Final answer
    x = 2,793.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.