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Finding the Fourth Proportional to 2,426.39, 3,640.40 and 965.15

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Solution

The fourth proportional to 2,426.39, 3,640.40 and 965.15 is: 1,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.39 : 3,640.40 = 965.15 : x
  2. Step 2: Convert to fraction form
    2,426.39/3,640.40 = 965.15/x
  3. Step 3: Cross multiply
    2,426.39x = 3,640.40 × 965.15
  4. Step 4: Simplify right side
    2,426.39x = 3,513,527.23
  5. Step 5: Solve for x
    x = 3,513,527.23/2,426.39
  6. Step 6: Final answer
    x = 1,448.05

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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.