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Finding the Fourth Proportional to 2,885.94, 3,982.17 and 1,626.76

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Solution

The fourth proportional to 2,885.94, 3,982.17 and 1,626.76 is: 2,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.94 : 3,982.17 = 1,626.76 : x
  2. Step 2: Convert to fraction form
    2,885.94/3,982.17 = 1,626.76/x
  3. Step 3: Cross multiply
    2,885.94x = 3,982.17 × 1,626.76
  4. Step 4: Simplify right side
    2,885.94x = 6,478,034.87
  5. Step 5: Solve for x
    x = 6,478,034.87/2,885.94
  6. Step 6: Final answer
    x = 2,244.69

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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.