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Finding the Fourth Proportional to 2,601.60, 3,902.16 and 870.24

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Solution

The fourth proportional to 2,601.60, 3,902.16 and 870.24 is: 1,305.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.60 : 3,902.16 = 870.24 : x
  2. Step 2: Convert to fraction form
    2,601.60/3,902.16 = 870.24/x
  3. Step 3: Cross multiply
    2,601.60x = 3,902.16 × 870.24
  4. Step 4: Simplify right side
    2,601.60x = 3,395,815.72
  5. Step 5: Solve for x
    x = 3,395,815.72/2,601.60
  6. Step 6: Final answer
    x = 1,305.28

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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.