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Finding the Fourth Proportional to 2,656.60, 3,671.22 and 2,131.72

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Solution

The fourth proportional to 2,656.60, 3,671.22 and 2,131.72 is: 2,945.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.60 : 3,671.22 = 2,131.72 : x
  2. Step 2: Convert to fraction form
    2,656.60/3,671.22 = 2,131.72/x
  3. Step 3: Cross multiply
    2,656.60x = 3,671.22 × 2,131.72
  4. Step 4: Simplify right side
    2,656.60x = 7,826,013.10
  5. Step 5: Solve for x
    x = 7,826,013.10/2,656.60
  6. Step 6: Final answer
    x = 2,945.88

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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.