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Finding the Fourth Proportional to 3,233.60, 4,852.80 and 1,287.20

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Solution

The fourth proportional to 3,233.60, 4,852.80 and 1,287.20 is: 1,931.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,233.60 : 4,852.80 = 1,287.20 : x
  2. Step 2: Convert to fraction form
    3,233.60/4,852.80 = 1,287.20/x
  3. Step 3: Cross multiply
    3,233.60x = 4,852.80 × 1,287.20
  4. Step 4: Simplify right side
    3,233.60x = 6,246,524.16
  5. Step 5: Solve for x
    x = 6,246,524.16/3,233.60
  6. Step 6: Final answer
    x = 1,931.76

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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.