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Finding the Fourth Proportional to 2,913.20, 4,369.89 and 965.34

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Solution

The fourth proportional to 2,913.20, 4,369.89 and 965.34 is: 1,448.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.20 : 4,369.89 = 965.34 : x
  2. Step 2: Convert to fraction form
    2,913.20/4,369.89 = 965.34/x
  3. Step 3: Cross multiply
    2,913.20x = 4,369.89 × 965.34
  4. Step 4: Simplify right side
    2,913.20x = 4,218,429.61
  5. Step 5: Solve for x
    x = 4,218,429.61/2,913.20
  6. Step 6: Final answer
    x = 1,448.04

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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.