Home / 1,286.41-1,929.61-312.51

Finding the Fourth Proportional to 1,286.41, 1,929.61 and 312.51

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Solution

The fourth proportional to 1,286.41, 1,929.61 and 312.51 is: 468.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.41 : 1,929.61 = 312.51 : x
  2. Step 2: Convert to fraction form
    1,286.41/1,929.61 = 312.51/x
  3. Step 3: Cross multiply
    1,286.41x = 1,929.61 × 312.51
  4. Step 4: Simplify right side
    1,286.41x = 603,020.28
  5. Step 5: Solve for x
    x = 603,020.28/1,286.41
  6. Step 6: Final answer
    x = 468.76

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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.