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Finding the Fourth Proportional to 1,603.83, 2,213.42 and 1,274.97

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Solution

The fourth proportional to 1,603.83, 2,213.42 and 1,274.97 is: 1,759.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.83 : 2,213.42 = 1,274.97 : x
  2. Step 2: Convert to fraction form
    1,603.83/2,213.42 = 1,274.97/x
  3. Step 3: Cross multiply
    1,603.83x = 2,213.42 × 1,274.97
  4. Step 4: Simplify right side
    1,603.83x = 2,822,037.72
  5. Step 5: Solve for x
    x = 2,822,037.72/1,603.83
  6. Step 6: Final answer
    x = 1,759.56

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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.