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Finding the Fourth Proportional to 2,309.90, 3,464.92 and 578.56

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Solution

The fourth proportional to 2,309.90, 3,464.92 and 578.56 is: 867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.90 : 3,464.92 = 578.56 : x
  2. Step 2: Convert to fraction form
    2,309.90/3,464.92 = 578.56/x
  3. Step 3: Cross multiply
    2,309.90x = 3,464.92 × 578.56
  4. Step 4: Simplify right side
    2,309.90x = 2,004,664.12
  5. Step 5: Solve for x
    x = 2,004,664.12/2,309.90
  6. Step 6: Final answer
    x = 867.86

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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.