Home / 2,282.84-3,150.31-1,288.10

Finding the Fourth Proportional to 2,282.84, 3,150.31 and 1,288.10

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Solution

The fourth proportional to 2,282.84, 3,150.31 and 1,288.10 is: 1,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.84 : 3,150.31 = 1,288.10 : x
  2. Step 2: Convert to fraction form
    2,282.84/3,150.31 = 1,288.10/x
  3. Step 3: Cross multiply
    2,282.84x = 3,150.31 × 1,288.10
  4. Step 4: Simplify right side
    2,282.84x = 4,057,898.56
  5. Step 5: Solve for x
    x = 4,057,898.56/2,282.84
  6. Step 6: Final answer
    x = 1,777.57

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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.