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Finding the Fourth Proportional to 1,593.25, 2,197.66 and 1,002.76

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Solution

The fourth proportional to 1,593.25, 2,197.66 and 1,002.76 is: 1,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.25 : 2,197.66 = 1,002.76 : x
  2. Step 2: Convert to fraction form
    1,593.25/2,197.66 = 1,002.76/x
  3. Step 3: Cross multiply
    1,593.25x = 2,197.66 × 1,002.76
  4. Step 4: Simplify right side
    1,593.25x = 2,203,725.54
  5. Step 5: Solve for x
    x = 2,203,725.54/1,593.25
  6. Step 6: Final answer
    x = 1,383.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.