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Finding the Fourth Proportional to 3,273.02, 4,909.26 and 964.52

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Solution

The fourth proportional to 3,273.02, 4,909.26 and 964.52 is: 1,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.02 : 4,909.26 = 964.52 : x
  2. Step 2: Convert to fraction form
    3,273.02/4,909.26 = 964.52/x
  3. Step 3: Cross multiply
    3,273.02x = 4,909.26 × 964.52
  4. Step 4: Simplify right side
    3,273.02x = 4,735,079.46
  5. Step 5: Solve for x
    x = 4,735,079.46/3,273.02
  6. Step 6: Final answer
    x = 1,446.70

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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.