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Finding the Fourth Proportional to 2,869.74, 3,956.04 and 2,073.60

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Solution

The fourth proportional to 2,869.74, 3,956.04 and 2,073.60 is: 2,858.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.74 : 3,956.04 = 2,073.60 : x
  2. Step 2: Convert to fraction form
    2,869.74/3,956.04 = 2,073.60/x
  3. Step 3: Cross multiply
    2,869.74x = 3,956.04 × 2,073.60
  4. Step 4: Simplify right side
    2,869.74x = 8,203,244.54
  5. Step 5: Solve for x
    x = 8,203,244.54/2,869.74
  6. Step 6: Final answer
    x = 2,858.53

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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.