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Finding the Fourth Proportional to 2,309.82, 3,464.70 and 578.43

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Solution

The fourth proportional to 2,309.82, 3,464.70 and 578.43 is: 867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.82 : 3,464.70 = 578.43 : x
  2. Step 2: Convert to fraction form
    2,309.82/3,464.70 = 578.43/x
  3. Step 3: Cross multiply
    2,309.82x = 3,464.70 × 578.43
  4. Step 4: Simplify right side
    2,309.82x = 2,004,086.42
  5. Step 5: Solve for x
    x = 2,004,086.42/2,309.82
  6. Step 6: Final answer
    x = 867.64

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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.