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Finding the Fourth Proportional to 2,869.26, 3,958.62 and 1,610.10

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Solution

The fourth proportional to 2,869.26, 3,958.62 and 1,610.10 is: 2,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.26 : 3,958.62 = 1,610.10 : x
  2. Step 2: Convert to fraction form
    2,869.26/3,958.62 = 1,610.10/x
  3. Step 3: Cross multiply
    2,869.26x = 3,958.62 × 1,610.10
  4. Step 4: Simplify right side
    2,869.26x = 6,373,774.06
  5. Step 5: Solve for x
    x = 6,373,774.06/2,869.26
  6. Step 6: Final answer
    x = 2,221.40

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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.