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Finding the Fourth Proportional to 3,291.42, 4,542.39 and 1,964.94

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Solution

The fourth proportional to 3,291.42, 4,542.39 and 1,964.94 is: 2,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.42 : 4,542.39 = 1,964.94 : x
  2. Step 2: Convert to fraction form
    3,291.42/4,542.39 = 1,964.94/x
  3. Step 3: Cross multiply
    3,291.42x = 4,542.39 × 1,964.94
  4. Step 4: Simplify right side
    3,291.42x = 8,925,523.81
  5. Step 5: Solve for x
    x = 8,925,523.81/3,291.42
  6. Step 6: Final answer
    x = 2,711.75

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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.