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Finding the Fourth Proportional to 3,282.58, 4,923.84 and 1,334.32

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Solution

The fourth proportional to 3,282.58, 4,923.84 and 1,334.32 is: 2,001.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.58 : 4,923.84 = 1,334.32 : x
  2. Step 2: Convert to fraction form
    3,282.58/4,923.84 = 1,334.32/x
  3. Step 3: Cross multiply
    3,282.58x = 4,923.84 × 1,334.32
  4. Step 4: Simplify right side
    3,282.58x = 6,569,978.19
  5. Step 5: Solve for x
    x = 6,569,978.19/3,282.58
  6. Step 6: Final answer
    x = 2,001.47

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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.