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Finding the Fourth Proportional to 2,202.44, 3,316.44 and 1,590.32

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Solution

The fourth proportional to 2,202.44, 3,316.44 and 1,590.32 is: 2,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.44 : 3,316.44 = 1,590.32 : x
  2. Step 2: Convert to fraction form
    2,202.44/3,316.44 = 1,590.32/x
  3. Step 3: Cross multiply
    2,202.44x = 3,316.44 × 1,590.32
  4. Step 4: Simplify right side
    2,202.44x = 5,274,200.86
  5. Step 5: Solve for x
    x = 5,274,200.86/2,202.44
  6. Step 6: Final answer
    x = 2,394.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.