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Finding the Fourth Proportional to 2,199.15, 3,298.12 and 812.38

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Solution

The fourth proportional to 2,199.15, 3,298.12 and 812.38 is: 1,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.15 : 3,298.12 = 812.38 : x
  2. Step 2: Convert to fraction form
    2,199.15/3,298.12 = 812.38/x
  3. Step 3: Cross multiply
    2,199.15x = 3,298.12 × 812.38
  4. Step 4: Simplify right side
    2,199.15x = 2,679,322.63
  5. Step 5: Solve for x
    x = 2,679,322.63/2,199.15
  6. Step 6: Final answer
    x = 1,218.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.