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Finding the Fourth Proportional to 3,010.68, 4,514.36 and 930.11

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Solution

The fourth proportional to 3,010.68, 4,514.36 and 930.11 is: 1,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.68 : 4,514.36 = 930.11 : x
  2. Step 2: Convert to fraction form
    3,010.68/4,514.36 = 930.11/x
  3. Step 3: Cross multiply
    3,010.68x = 4,514.36 × 930.11
  4. Step 4: Simplify right side
    3,010.68x = 4,198,824.16
  5. Step 5: Solve for x
    x = 4,198,824.16/3,010.68
  6. Step 6: Final answer
    x = 1,394.64

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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.