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Finding the Fourth Proportional to 1,593.40, 2,198.65 and 894.64

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Solution

The fourth proportional to 1,593.40, 2,198.65 and 894.64 is: 1,234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.40 : 2,198.65 = 894.64 : x
  2. Step 2: Convert to fraction form
    1,593.40/2,198.65 = 894.64/x
  3. Step 3: Cross multiply
    1,593.40x = 2,198.65 × 894.64
  4. Step 4: Simplify right side
    1,593.40x = 1,966,987.01
  5. Step 5: Solve for x
    x = 1,966,987.01/1,593.40
  6. Step 6: Final answer
    x = 1,234.46

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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.