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Finding the Fourth Proportional to 1,593.82, 2,199.66 and 895.20

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Solution

The fourth proportional to 1,593.82, 2,199.66 and 895.20 is: 1,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.82 : 2,199.66 = 895.20 : x
  2. Step 2: Convert to fraction form
    1,593.82/2,199.66 = 895.20/x
  3. Step 3: Cross multiply
    1,593.82x = 2,199.66 × 895.20
  4. Step 4: Simplify right side
    1,593.82x = 1,969,135.63
  5. Step 5: Solve for x
    x = 1,969,135.63/1,593.82
  6. Step 6: Final answer
    x = 1,235.48

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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.