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Finding the Fourth Proportional to 2,886.05, 3,982.02 and 1,766.59

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Solution

The fourth proportional to 2,886.05, 3,982.02 and 1,766.59 is: 2,437.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.05 : 3,982.02 = 1,766.59 : x
  2. Step 2: Convert to fraction form
    2,886.05/3,982.02 = 1,766.59/x
  3. Step 3: Cross multiply
    2,886.05x = 3,982.02 × 1,766.59
  4. Step 4: Simplify right side
    2,886.05x = 7,034,580.13
  5. Step 5: Solve for x
    x = 7,034,580.13/2,886.05
  6. Step 6: Final answer
    x = 2,437.44

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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.