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Finding the Fourth Proportional to 2,010.30, 3,012.96 and 913.56

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Solution

The fourth proportional to 2,010.30, 3,012.96 and 913.56 is: 1,369.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.30 : 3,012.96 = 913.56 : x
  2. Step 2: Convert to fraction form
    2,010.30/3,012.96 = 913.56/x
  3. Step 3: Cross multiply
    2,010.30x = 3,012.96 × 913.56
  4. Step 4: Simplify right side
    2,010.30x = 2,752,519.74
  5. Step 5: Solve for x
    x = 2,752,519.74/2,010.30
  6. Step 6: Final answer
    x = 1,369.21

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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.