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Finding the Fourth Proportional to 2,327.99, 3,212.82 and 1,929.56

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Solution

The fourth proportional to 2,327.99, 3,212.82 and 1,929.56 is: 2,662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.99 : 3,212.82 = 1,929.56 : x
  2. Step 2: Convert to fraction form
    2,327.99/3,212.82 = 1,929.56/x
  3. Step 3: Cross multiply
    2,327.99x = 3,212.82 × 1,929.56
  4. Step 4: Simplify right side
    2,327.99x = 6,199,312.90
  5. Step 5: Solve for x
    x = 6,199,312.90/2,327.99
  6. Step 6: Final answer
    x = 2,662.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.