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Finding the Fourth Proportional to 2,144.46, 2,956.19 and 1,512.93

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Solution

The fourth proportional to 2,144.46, 2,956.19 and 1,512.93 is: 2,085.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.46 : 2,956.19 = 1,512.93 : x
  2. Step 2: Convert to fraction form
    2,144.46/2,956.19 = 1,512.93/x
  3. Step 3: Cross multiply
    2,144.46x = 2,956.19 × 1,512.93
  4. Step 4: Simplify right side
    2,144.46x = 4,472,500.97
  5. Step 5: Solve for x
    x = 4,472,500.97/2,144.46
  6. Step 6: Final answer
    x = 2,085.61

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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.