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Finding the Fourth Proportional to 1,976.84, 2,726.39 and 1,480.65

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Solution

The fourth proportional to 1,976.84, 2,726.39 and 1,480.65 is: 2,042.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.84 : 2,726.39 = 1,480.65 : x
  2. Step 2: Convert to fraction form
    1,976.84/2,726.39 = 1,480.65/x
  3. Step 3: Cross multiply
    1,976.84x = 2,726.39 × 1,480.65
  4. Step 4: Simplify right side
    1,976.84x = 4,036,821.95
  5. Step 5: Solve for x
    x = 4,036,821.95/1,976.84
  6. Step 6: Final answer
    x = 2,042.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.