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Finding the Fourth Proportional to 2,199.03, 3,036.68 and 1,414.42

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Solution

The fourth proportional to 2,199.03, 3,036.68 and 1,414.42 is: 1,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.03 : 3,036.68 = 1,414.42 : x
  2. Step 2: Convert to fraction form
    2,199.03/3,036.68 = 1,414.42/x
  3. Step 3: Cross multiply
    2,199.03x = 3,036.68 × 1,414.42
  4. Step 4: Simplify right side
    2,199.03x = 4,295,140.93
  5. Step 5: Solve for x
    x = 4,295,140.93/2,199.03
  6. Step 6: Final answer
    x = 1,953.20

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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.