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Finding the Fourth Proportional to 2,308.00, 3,462.57 and 664.65

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Solution

The fourth proportional to 2,308.00, 3,462.57 and 664.65 is: 997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.00 : 3,462.57 = 664.65 : x
  2. Step 2: Convert to fraction form
    2,308.00/3,462.57 = 664.65/x
  3. Step 3: Cross multiply
    2,308.00x = 3,462.57 × 664.65
  4. Step 4: Simplify right side
    2,308.00x = 2,301,393.83
  5. Step 5: Solve for x
    x = 2,301,393.83/2,308.00
  6. Step 6: Final answer
    x = 997.14

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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.