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Finding the Fourth Proportional to 2,886.67, 3,981.33 and 2,090.10

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Solution

The fourth proportional to 2,886.67, 3,981.33 and 2,090.10 is: 2,882.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.67 : 3,981.33 = 2,090.10 : x
  2. Step 2: Convert to fraction form
    2,886.67/3,981.33 = 2,090.10/x
  3. Step 3: Cross multiply
    2,886.67x = 3,981.33 × 2,090.10
  4. Step 4: Simplify right side
    2,886.67x = 8,321,377.83
  5. Step 5: Solve for x
    x = 8,321,377.83/2,886.67
  6. Step 6: Final answer
    x = 2,882.69

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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.