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Finding the Fourth Proportional to 2,141.63, 3,212.76 and 754.72

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Solution

The fourth proportional to 2,141.63, 3,212.76 and 754.72 is: 1,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.63 : 3,212.76 = 754.72 : x
  2. Step 2: Convert to fraction form
    2,141.63/3,212.76 = 754.72/x
  3. Step 3: Cross multiply
    2,141.63x = 3,212.76 × 754.72
  4. Step 4: Simplify right side
    2,141.63x = 2,424,724.31
  5. Step 5: Solve for x
    x = 2,424,724.31/2,141.63
  6. Step 6: Final answer
    x = 1,132.19

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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.