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Finding the Fourth Proportional to 2,381.60, 3,286.80 and 2,032.16

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Solution

The fourth proportional to 2,381.60, 3,286.80 and 2,032.16 is: 2,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.60 : 3,286.80 = 2,032.16 : x
  2. Step 2: Convert to fraction form
    2,381.60/3,286.80 = 2,032.16/x
  3. Step 3: Cross multiply
    2,381.60x = 3,286.80 × 2,032.16
  4. Step 4: Simplify right side
    2,381.60x = 6,679,303.49
  5. Step 5: Solve for x
    x = 6,679,303.49/2,381.60
  6. Step 6: Final answer
    x = 2,804.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.