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Finding the Fourth Proportional to 2,199.32, 3,035.15 and 1,204.68

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Solution

The fourth proportional to 2,199.32, 3,035.15 and 1,204.68 is: 1,662.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.32 : 3,035.15 = 1,204.68 : x
  2. Step 2: Convert to fraction form
    2,199.32/3,035.15 = 1,204.68/x
  3. Step 3: Cross multiply
    2,199.32x = 3,035.15 × 1,204.68
  4. Step 4: Simplify right side
    2,199.32x = 3,656,378.48
  5. Step 5: Solve for x
    x = 3,656,378.48/2,199.32
  6. Step 6: Final answer
    x = 1,662.51

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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.