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Finding the Fourth Proportional to 3,010.96, 4,514.28 and 1,160.52

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Solution

The fourth proportional to 3,010.96, 4,514.28 and 1,160.52 is: 1,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.96 : 4,514.28 = 1,160.52 : x
  2. Step 2: Convert to fraction form
    3,010.96/4,514.28 = 1,160.52/x
  3. Step 3: Cross multiply
    3,010.96x = 4,514.28 × 1,160.52
  4. Step 4: Simplify right side
    3,010.96x = 5,238,912.23
  5. Step 5: Solve for x
    x = 5,238,912.23/3,010.96
  6. Step 6: Final answer
    x = 1,739.95

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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.