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Finding the Fourth Proportional to 2,308.72, 3,463.27 and 665.30

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Solution

The fourth proportional to 2,308.72, 3,463.27 and 665.30 is: 998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.72 : 3,463.27 = 665.30 : x
  2. Step 2: Convert to fraction form
    2,308.72/3,463.27 = 665.30/x
  3. Step 3: Cross multiply
    2,308.72x = 3,463.27 × 665.30
  4. Step 4: Simplify right side
    2,308.72x = 2,304,113.53
  5. Step 5: Solve for x
    x = 2,304,113.53/2,308.72
  6. Step 6: Final answer
    x = 998.00

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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.