Home / 1,726.24-2,382.26-980.18

Finding the Fourth Proportional to 1,726.24, 2,382.26 and 980.18

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Solution

The fourth proportional to 1,726.24, 2,382.26 and 980.18 is: 1,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726.24 : 2,382.26 = 980.18 : x
  2. Step 2: Convert to fraction form
    1,726.24/2,382.26 = 980.18/x
  3. Step 3: Cross multiply
    1,726.24x = 2,382.26 × 980.18
  4. Step 4: Simplify right side
    1,726.24x = 2,335,043.61
  5. Step 5: Solve for x
    x = 2,335,043.61/1,726.24
  6. Step 6: Final answer
    x = 1,352.68

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1.5x scale

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.