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Finding the Fourth Proportional to 1,593.61, 2,197.72 and 1,033.49

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Solution

The fourth proportional to 1,593.61, 2,197.72 and 1,033.49 is: 1,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.61 : 2,197.72 = 1,033.49 : x
  2. Step 2: Convert to fraction form
    1,593.61/2,197.72 = 1,033.49/x
  3. Step 3: Cross multiply
    1,593.61x = 2,197.72 × 1,033.49
  4. Step 4: Simplify right side
    1,593.61x = 2,271,321.64
  5. Step 5: Solve for x
    x = 2,271,321.64/1,593.61
  6. Step 6: Final answer
    x = 1,425.27

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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.