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Finding the Fourth Proportional to 3,010.99, 4,514.82 and 930.42

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Solution

The fourth proportional to 3,010.99, 4,514.82 and 930.42 is: 1,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,010.99 : 4,514.82 = 930.42 : x
  2. Step 2: Convert to fraction form
    3,010.99/4,514.82 = 930.42/x
  3. Step 3: Cross multiply
    3,010.99x = 4,514.82 × 930.42
  4. Step 4: Simplify right side
    3,010.99x = 4,200,678.82
  5. Step 5: Solve for x
    x = 4,200,678.82/3,010.99
  6. Step 6: Final answer
    x = 1,395.12

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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.