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Finding the Fourth Proportional to 2,309.70, 3,464.55 and 2,208.90

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Solution

The fourth proportional to 2,309.70, 3,464.55 and 2,208.90 is: 3,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.70 : 3,464.55 = 2,208.90 : x
  2. Step 2: Convert to fraction form
    2,309.70/3,464.55 = 2,208.90/x
  3. Step 3: Cross multiply
    2,309.70x = 3,464.55 × 2,208.90
  4. Step 4: Simplify right side
    2,309.70x = 7,652,844.50
  5. Step 5: Solve for x
    x = 7,652,844.50/2,309.70
  6. Step 6: Final answer
    x = 3,313.35

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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.