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Finding the Fourth Proportional to 2,308.10, 3,462.15 and 664.65

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Solution

The fourth proportional to 2,308.10, 3,462.15 and 664.65 is: 996.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.10 : 3,462.15 = 664.65 : x
  2. Step 2: Convert to fraction form
    2,308.10/3,462.15 = 664.65/x
  3. Step 3: Cross multiply
    2,308.10x = 3,462.15 × 664.65
  4. Step 4: Simplify right side
    2,308.10x = 2,301,118.00
  5. Step 5: Solve for x
    x = 2,301,118.00/2,308.10
  6. Step 6: Final answer
    x = 996.98

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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.