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Finding the Fourth Proportional to 1,593.60, 2,202.18 and 1,199.94

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Solution

The fourth proportional to 1,593.60, 2,202.18 and 1,199.94 is: 1,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.60 : 2,202.18 = 1,199.94 : x
  2. Step 2: Convert to fraction form
    1,593.60/2,202.18 = 1,199.94/x
  3. Step 3: Cross multiply
    1,593.60x = 2,202.18 × 1,199.94
  4. Step 4: Simplify right side
    1,593.60x = 2,642,483.87
  5. Step 5: Solve for x
    x = 2,642,483.87/1,593.60
  6. Step 6: Final answer
    x = 1,658.19

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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.