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Finding the Fourth Proportional to 2,104.24, 3,156.42 and 870.80

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Solution

The fourth proportional to 2,104.24, 3,156.42 and 870.80 is: 1,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.24 : 3,156.42 = 870.80 : x
  2. Step 2: Convert to fraction form
    2,104.24/3,156.42 = 870.80/x
  3. Step 3: Cross multiply
    2,104.24x = 3,156.42 × 870.80
  4. Step 4: Simplify right side
    2,104.24x = 2,748,610.54
  5. Step 5: Solve for x
    x = 2,748,610.54/2,104.24
  6. Step 6: Final answer
    x = 1,306.22

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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.