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Finding the Fourth Proportional to 3,286.42, 4,929.54 and 1,340.02

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Solution

The fourth proportional to 3,286.42, 4,929.54 and 1,340.02 is: 2,009.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.42 : 4,929.54 = 1,340.02 : x
  2. Step 2: Convert to fraction form
    3,286.42/4,929.54 = 1,340.02/x
  3. Step 3: Cross multiply
    3,286.42x = 4,929.54 × 1,340.02
  4. Step 4: Simplify right side
    3,286.42x = 6,605,682.19
  5. Step 5: Solve for x
    x = 6,605,682.19/3,286.42
  6. Step 6: Final answer
    x = 2,009.99

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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.