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Finding the Fourth Proportional to 2,354.13, 3,528.42 and 966.78

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Solution

The fourth proportional to 2,354.13, 3,528.42 and 966.78 is: 1,449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.13 : 3,528.42 = 966.78 : x
  2. Step 2: Convert to fraction form
    2,354.13/3,528.42 = 966.78/x
  3. Step 3: Cross multiply
    2,354.13x = 3,528.42 × 966.78
  4. Step 4: Simplify right side
    2,354.13x = 3,411,205.89
  5. Step 5: Solve for x
    x = 3,411,205.89/2,354.13
  6. Step 6: Final answer
    x = 1,449.03

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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.