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Finding the Fourth Proportional to 2,306, 3,459.08 and 766.96

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Solution

The fourth proportional to 2,306, 3,459.08 and 766.96 is: 1,150.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306 : 3,459.08 = 766.96 : x
  2. Step 2: Convert to fraction form
    2,306/3,459.08 = 766.96/x
  3. Step 3: Cross multiply
    2,306x = 3,459.08 × 766.96
  4. Step 4: Simplify right side
    2,306x = 2,652,976.00
  5. Step 5: Solve for x
    x = 2,652,976.00/2,306
  6. Step 6: Final answer
    x = 1,150.47

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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.