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Finding the Fourth Proportional to 2,011.67, 3,017.12 and 695.42

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Solution

The fourth proportional to 2,011.67, 3,017.12 and 695.42 is: 1,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.67 : 3,017.12 = 695.42 : x
  2. Step 2: Convert to fraction form
    2,011.67/3,017.12 = 695.42/x
  3. Step 3: Cross multiply
    2,011.67x = 3,017.12 × 695.42
  4. Step 4: Simplify right side
    2,011.67x = 2,098,147.03
  5. Step 5: Solve for x
    x = 2,098,147.03/2,011.67
  6. Step 6: Final answer
    x = 1,042.99

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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.