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Finding the Fourth Proportional to 3,010.78, 4,155.52 and 1,832.23

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Solution

The fourth proportional to 3,010.78, 4,155.52 and 1,832.23 is: 2,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.78 : 4,155.52 = 1,832.23 : x
  2. Step 2: Convert to fraction form
    3,010.78/4,155.52 = 1,832.23/x
  3. Step 3: Cross multiply
    3,010.78x = 4,155.52 × 1,832.23
  4. Step 4: Simplify right side
    3,010.78x = 7,613,847.63
  5. Step 5: Solve for x
    x = 7,613,847.63/3,010.78
  6. Step 6: Final answer
    x = 2,528.87

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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.