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Finding the Fourth Proportional to 2,601.52, 3,902.20 and 870.16

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Solution

The fourth proportional to 2,601.52, 3,902.20 and 870.16 is: 1,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.52 : 3,902.20 = 870.16 : x
  2. Step 2: Convert to fraction form
    2,601.52/3,902.20 = 870.16/x
  3. Step 3: Cross multiply
    2,601.52x = 3,902.20 × 870.16
  4. Step 4: Simplify right side
    2,601.52x = 3,395,538.35
  5. Step 5: Solve for x
    x = 3,395,538.35/2,601.52
  6. Step 6: Final answer
    x = 1,305.21

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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.