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Finding the Fourth Proportional to 1,338.10, 2,003.10 and 920.74

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Solution

The fourth proportional to 1,338.10, 2,003.10 and 920.74 is: 1,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.10 : 2,003.10 = 920.74 : x
  2. Step 2: Convert to fraction form
    1,338.10/2,003.10 = 920.74/x
  3. Step 3: Cross multiply
    1,338.10x = 2,003.10 × 920.74
  4. Step 4: Simplify right side
    1,338.10x = 1,844,334.29
  5. Step 5: Solve for x
    x = 1,844,334.29/1,338.10
  6. Step 6: Final answer
    x = 1,378.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.