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Finding the Fourth Proportional to 2,144.03, 2,956.78 and 1,397.61

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Solution

The fourth proportional to 2,144.03, 2,956.78 and 1,397.61 is: 1,927.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,144.03 : 2,956.78 = 1,397.61 : x
  2. Step 2: Convert to fraction form
    2,144.03/2,956.78 = 1,397.61/x
  3. Step 3: Cross multiply
    2,144.03x = 2,956.78 × 1,397.61
  4. Step 4: Simplify right side
    2,144.03x = 4,132,429.19
  5. Step 5: Solve for x
    x = 4,132,429.19/2,144.03
  6. Step 6: Final answer
    x = 1,927.41

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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.