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Finding the Fourth Proportional to 2,621.94, 3,934.71 and 979.80

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Solution

The fourth proportional to 2,621.94, 3,934.71 and 979.80 is: 1,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,621.94 : 3,934.71 = 979.80 : x
  2. Step 2: Convert to fraction form
    2,621.94/3,934.71 = 979.80/x
  3. Step 3: Cross multiply
    2,621.94x = 3,934.71 × 979.80
  4. Step 4: Simplify right side
    2,621.94x = 3,855,228.86
  5. Step 5: Solve for x
    x = 3,855,228.86/2,621.94
  6. Step 6: Final answer
    x = 1,470.37

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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.