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Finding the Fourth Proportional to 2,602.43, 3,903.68 and 871.05

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Solution

The fourth proportional to 2,602.43, 3,903.68 and 871.05 is: 1,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.43 : 3,903.68 = 871.05 : x
  2. Step 2: Convert to fraction form
    2,602.43/3,903.68 = 871.05/x
  3. Step 3: Cross multiply
    2,602.43x = 3,903.68 × 871.05
  4. Step 4: Simplify right side
    2,602.43x = 3,400,300.46
  5. Step 5: Solve for x
    x = 3,400,300.46/2,602.43
  6. Step 6: Final answer
    x = 1,306.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.