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Finding the Fourth Proportional to 1,726.42, 2,382.37 and 980.28

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Solution

The fourth proportional to 1,726.42, 2,382.37 and 980.28 is: 1,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.42 : 2,382.37 = 980.28 : x
  2. Step 2: Convert to fraction form
    1,726.42/2,382.37 = 980.28/x
  3. Step 3: Cross multiply
    1,726.42x = 2,382.37 × 980.28
  4. Step 4: Simplify right side
    1,726.42x = 2,335,389.66
  5. Step 5: Solve for x
    x = 2,335,389.66/1,726.42
  6. Step 6: Final answer
    x = 1,352.74

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Why These Related Problems?

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