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Finding the Fourth Proportional to 2,426.52, 3,640.65 and 1,194.80

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Solution

The fourth proportional to 2,426.52, 3,640.65 and 1,194.80 is: 1,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,426.52 : 3,640.65 = 1,194.80 : x
  2. Step 2: Convert to fraction form
    2,426.52/3,640.65 = 1,194.80/x
  3. Step 3: Cross multiply
    2,426.52x = 3,640.65 × 1,194.80
  4. Step 4: Simplify right side
    2,426.52x = 4,349,830.42
  5. Step 5: Solve for x
    x = 4,349,830.42/2,426.52
  6. Step 6: Final answer
    x = 1,792.62

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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.