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Finding the Fourth Proportional to 2,278.48, 3,142.05 and 1,687.99

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Solution

The fourth proportional to 2,278.48, 3,142.05 and 1,687.99 is: 2,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.48 : 3,142.05 = 1,687.99 : x
  2. Step 2: Convert to fraction form
    2,278.48/3,142.05 = 1,687.99/x
  3. Step 3: Cross multiply
    2,278.48x = 3,142.05 × 1,687.99
  4. Step 4: Simplify right side
    2,278.48x = 5,303,748.98
  5. Step 5: Solve for x
    x = 5,303,748.98/2,278.48
  6. Step 6: Final answer
    x = 2,327.76

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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.