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Finding the Fourth Proportional to 2,143.63, 3,212.55 and 972.18

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Solution

The fourth proportional to 2,143.63, 3,212.55 and 972.18 is: 1,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.63 : 3,212.55 = 972.18 : x
  2. Step 2: Convert to fraction form
    2,143.63/3,212.55 = 972.18/x
  3. Step 3: Cross multiply
    2,143.63x = 3,212.55 × 972.18
  4. Step 4: Simplify right side
    2,143.63x = 3,123,176.86
  5. Step 5: Solve for x
    x = 3,123,176.86/2,143.63
  6. Step 6: Final answer
    x = 1,456.96

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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.