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Finding the Fourth Proportional to 2,008.19, 3,011.53 and 691.57

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Solution

The fourth proportional to 2,008.19, 3,011.53 and 691.57 is: 1,037.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.19 : 3,011.53 = 691.57 : x
  2. Step 2: Convert to fraction form
    2,008.19/3,011.53 = 691.57/x
  3. Step 3: Cross multiply
    2,008.19x = 3,011.53 × 691.57
  4. Step 4: Simplify right side
    2,008.19x = 2,082,674.54
  5. Step 5: Solve for x
    x = 2,082,674.54/2,008.19
  6. Step 6: Final answer
    x = 1,037.09

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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.