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Finding the Fourth Proportional to 1,726.07, 2,382.23 and 980.22

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Solution

The fourth proportional to 1,726.07, 2,382.23 and 980.22 is: 1,352.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.07 : 2,382.23 = 980.22 : x
  2. Step 2: Convert to fraction form
    1,726.07/2,382.23 = 980.22/x
  3. Step 3: Cross multiply
    1,726.07x = 2,382.23 × 980.22
  4. Step 4: Simplify right side
    1,726.07x = 2,335,109.49
  5. Step 5: Solve for x
    x = 2,335,109.49/1,726.07
  6. Step 6: Final answer
    x = 1,352.85

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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.