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Finding the Fourth Proportional to 2,861.25, 3,948.44 and 1,602.42

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Solution

The fourth proportional to 2,861.25, 3,948.44 and 1,602.42 is: 2,211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.25 : 3,948.44 = 1,602.42 : x
  2. Step 2: Convert to fraction form
    2,861.25/3,948.44 = 1,602.42/x
  3. Step 3: Cross multiply
    2,861.25x = 3,948.44 × 1,602.42
  4. Step 4: Simplify right side
    2,861.25x = 6,327,051.21
  5. Step 5: Solve for x
    x = 6,327,051.21/2,861.25
  6. Step 6: Final answer
    x = 2,211.29

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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.