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Finding the Fourth Proportional to 2,199.42, 3,035.34 and 1,452.87

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Solution

The fourth proportional to 2,199.42, 3,035.34 and 1,452.87 is: 2,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.42 : 3,035.34 = 1,452.87 : x
  2. Step 2: Convert to fraction form
    2,199.42/3,035.34 = 1,452.87/x
  3. Step 3: Cross multiply
    2,199.42x = 3,035.34 × 1,452.87
  4. Step 4: Simplify right side
    2,199.42x = 4,409,954.43
  5. Step 5: Solve for x
    x = 4,409,954.43/2,199.42
  6. Step 6: Final answer
    x = 2,005.05

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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.