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Finding the Fourth Proportional to 2,104.12, 3,157.59 and 871.51

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Solution

The fourth proportional to 2,104.12, 3,157.59 and 871.51 is: 1,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.12 : 3,157.59 = 871.51 : x
  2. Step 2: Convert to fraction form
    2,104.12/3,157.59 = 871.51/x
  3. Step 3: Cross multiply
    2,104.12x = 3,157.59 × 871.51
  4. Step 4: Simplify right side
    2,104.12x = 2,751,871.26
  5. Step 5: Solve for x
    x = 2,751,871.26/2,104.12
  6. Step 6: Final answer
    x = 1,307.85

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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.