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Finding the Fourth Proportional to 2,308.55, 3,463.50 and 665.11

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Solution

The fourth proportional to 2,308.55, 3,463.50 and 665.11 is: 997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.55 : 3,463.50 = 665.11 : x
  2. Step 2: Convert to fraction form
    2,308.55/3,463.50 = 665.11/x
  3. Step 3: Cross multiply
    2,308.55x = 3,463.50 × 665.11
  4. Step 4: Simplify right side
    2,308.55x = 2,303,591.17
  5. Step 5: Solve for x
    x = 2,303,591.17/2,308.55
  6. Step 6: Final answer
    x = 997.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.