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Finding the Fourth Proportional to 1,991.66, 2,748.29 and 1,107.38

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Solution

The fourth proportional to 1,991.66, 2,748.29 and 1,107.38 is: 1,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.66 : 2,748.29 = 1,107.38 : x
  2. Step 2: Convert to fraction form
    1,991.66/2,748.29 = 1,107.38/x
  3. Step 3: Cross multiply
    1,991.66x = 2,748.29 × 1,107.38
  4. Step 4: Simplify right side
    1,991.66x = 3,043,401.38
  5. Step 5: Solve for x
    x = 3,043,401.38/1,991.66
  6. Step 6: Final answer
    x = 1,528.07

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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.