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Finding the Fourth Proportional to 1,975.61, 2,726.96 and 1,229.13

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Solution

The fourth proportional to 1,975.61, 2,726.96 and 1,229.13 is: 1,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.61 : 2,726.96 = 1,229.13 : x
  2. Step 2: Convert to fraction form
    1,975.61/2,726.96 = 1,229.13/x
  3. Step 3: Cross multiply
    1,975.61x = 2,726.96 × 1,229.13
  4. Step 4: Simplify right side
    1,975.61x = 3,351,782.20
  5. Step 5: Solve for x
    x = 3,351,782.20/1,975.61
  6. Step 6: Final answer
    x = 1,696.58

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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.