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Finding the Fourth Proportional to 2,008.06, 3,011.34 and 691.45

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Solution

The fourth proportional to 2,008.06, 3,011.34 and 691.45 is: 1,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.06 : 3,011.34 = 691.45 : x
  2. Step 2: Convert to fraction form
    2,008.06/3,011.34 = 691.45/x
  3. Step 3: Cross multiply
    2,008.06x = 3,011.34 × 691.45
  4. Step 4: Simplify right side
    2,008.06x = 2,082,177.71
  5. Step 5: Solve for x
    x = 2,082,177.71/2,008.06
  6. Step 6: Final answer
    x = 1,036.91

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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.