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Finding the Fourth Proportional to 2,641.80, 3,956.76 and 1,945.20

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Solution

The fourth proportional to 2,641.80, 3,956.76 and 1,945.20 is: 2,913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.80 : 3,956.76 = 1,945.20 : x
  2. Step 2: Convert to fraction form
    2,641.80/3,956.76 = 1,945.20/x
  3. Step 3: Cross multiply
    2,641.80x = 3,956.76 × 1,945.20
  4. Step 4: Simplify right side
    2,641.80x = 7,696,689.55
  5. Step 5: Solve for x
    x = 7,696,689.55/2,641.80
  6. Step 6: Final answer
    x = 2,913.43

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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.