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Finding the Fourth Proportional to 2,104.41, 3,155.85 and 871.59

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Solution

The fourth proportional to 2,104.41, 3,155.85 and 871.59 is: 1,307.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.41 : 3,155.85 = 871.59 : x
  2. Step 2: Convert to fraction form
    2,104.41/3,155.85 = 871.59/x
  3. Step 3: Cross multiply
    2,104.41x = 3,155.85 × 871.59
  4. Step 4: Simplify right side
    2,104.41x = 2,750,607.30
  5. Step 5: Solve for x
    x = 2,750,607.30/2,104.41
  6. Step 6: Final answer
    x = 1,307.07

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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.