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Finding the Fourth Proportional to 2,354.86, 3,531.69 and 968.58

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Solution

The fourth proportional to 2,354.86, 3,531.69 and 968.58 is: 1,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.86 : 3,531.69 = 968.58 : x
  2. Step 2: Convert to fraction form
    2,354.86/3,531.69 = 968.58/x
  3. Step 3: Cross multiply
    2,354.86x = 3,531.69 × 968.58
  4. Step 4: Simplify right side
    2,354.86x = 3,420,724.30
  5. Step 5: Solve for x
    x = 3,420,724.30/2,354.86
  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.