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Finding the Fourth Proportional to 2,956.34, 4,436.24 and 1,641.20

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Solution

The fourth proportional to 2,956.34, 4,436.24 and 1,641.20 is: 2,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.34 : 4,436.24 = 1,641.20 : x
  2. Step 2: Convert to fraction form
    2,956.34/4,436.24 = 1,641.20/x
  3. Step 3: Cross multiply
    2,956.34x = 4,436.24 × 1,641.20
  4. Step 4: Simplify right side
    2,956.34x = 7,280,757.09
  5. Step 5: Solve for x
    x = 7,280,757.09/2,956.34
  6. Step 6: Final answer
    x = 2,462.76

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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.