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Finding the Fourth Proportional to 1,738.11, 2,398.16 and 991.80

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Solution

The fourth proportional to 1,738.11, 2,398.16 and 991.80 is: 1,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.11 : 2,398.16 = 991.80 : x
  2. Step 2: Convert to fraction form
    1,738.11/2,398.16 = 991.80/x
  3. Step 3: Cross multiply
    1,738.11x = 2,398.16 × 991.80
  4. Step 4: Simplify right side
    1,738.11x = 2,378,490.13
  5. Step 5: Solve for x
    x = 2,378,490.13/1,738.11
  6. Step 6: Final answer
    x = 1,368.43

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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.