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Finding the Fourth Proportional to 2,648.13, 3,652.16 and 2,143.73

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Solution

The fourth proportional to 2,648.13, 3,652.16 and 2,143.73 is: 2,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.13 : 3,652.16 = 2,143.73 : x
  2. Step 2: Convert to fraction form
    2,648.13/3,652.16 = 2,143.73/x
  3. Step 3: Cross multiply
    2,648.13x = 3,652.16 × 2,143.73
  4. Step 4: Simplify right side
    2,648.13x = 7,829,215.98
  5. Step 5: Solve for x
    x = 7,829,215.98/2,648.13
  6. Step 6: Final answer
    x = 2,956.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.