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Finding the Fourth Proportional to 2,952.40, 4,426.61 and 1,469.74

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Solution

The fourth proportional to 2,952.40, 4,426.61 and 1,469.74 is: 2,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.40 : 4,426.61 = 1,469.74 : x
  2. Step 2: Convert to fraction form
    2,952.40/4,426.61 = 1,469.74/x
  3. Step 3: Cross multiply
    2,952.40x = 4,426.61 × 1,469.74
  4. Step 4: Simplify right side
    2,952.40x = 6,505,965.78
  5. Step 5: Solve for x
    x = 6,505,965.78/2,952.40
  6. Step 6: Final answer
    x = 2,203.62

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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.