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Finding the Fourth Proportional to 2,640.10, 3,956.97 and 972.89

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Solution

The fourth proportional to 2,640.10, 3,956.97 and 972.89 is: 1,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.10 : 3,956.97 = 972.89 : x
  2. Step 2: Convert to fraction form
    2,640.10/3,956.97 = 972.89/x
  3. Step 3: Cross multiply
    2,640.10x = 3,956.97 × 972.89
  4. Step 4: Simplify right side
    2,640.10x = 3,849,676.76
  5. Step 5: Solve for x
    x = 3,849,676.76/2,640.10
  6. Step 6: Final answer
    x = 1,458.16

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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.