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Finding the Fourth Proportional to 2,102.56, 3,151.78 and 870.84

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Solution

The fourth proportional to 2,102.56, 3,151.78 and 870.84 is: 1,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.56 : 3,151.78 = 870.84 : x
  2. Step 2: Convert to fraction form
    2,102.56/3,151.78 = 870.84/x
  3. Step 3: Cross multiply
    2,102.56x = 3,151.78 × 870.84
  4. Step 4: Simplify right side
    2,102.56x = 2,744,696.10
  5. Step 5: Solve for x
    x = 2,744,696.10/2,102.56
  6. Step 6: Final answer
    x = 1,305.41

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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.