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Finding the Fourth Proportional to 2,003.75, 2,765.18 and 1,107.49

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Solution

The fourth proportional to 2,003.75, 2,765.18 and 1,107.49 is: 1,528.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.75 : 2,765.18 = 1,107.49 : x
  2. Step 2: Convert to fraction form
    2,003.75/2,765.18 = 1,107.49/x
  3. Step 3: Cross multiply
    2,003.75x = 2,765.18 × 1,107.49
  4. Step 4: Simplify right side
    2,003.75x = 3,062,409.20
  5. Step 5: Solve for x
    x = 3,062,409.20/2,003.75
  6. Step 6: Final answer
    x = 1,528.34

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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.