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Finding the Fourth Proportional to 3,189.71, 4,784.42 and 968.45

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Solution

The fourth proportional to 3,189.71, 4,784.42 and 968.45 is: 1,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.71 : 4,784.42 = 968.45 : x
  2. Step 2: Convert to fraction form
    3,189.71/4,784.42 = 968.45/x
  3. Step 3: Cross multiply
    3,189.71x = 4,784.42 × 968.45
  4. Step 4: Simplify right side
    3,189.71x = 4,633,442.78
  5. Step 5: Solve for x
    x = 4,633,442.78/3,189.71
  6. Step 6: Final answer
    x = 1,452.62

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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.