Home / 1,476.46-2,214.78-380.83

Finding the Fourth Proportional to 1,476.46, 2,214.78 and 380.83

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Solution

The fourth proportional to 1,476.46, 2,214.78 and 380.83 is: 571.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.46 : 2,214.78 = 380.83 : x
  2. Step 2: Convert to fraction form
    1,476.46/2,214.78 = 380.83/x
  3. Step 3: Cross multiply
    1,476.46x = 2,214.78 × 380.83
  4. Step 4: Simplify right side
    1,476.46x = 843,454.67
  5. Step 5: Solve for x
    x = 843,454.67/1,476.46
  6. Step 6: Final answer
    x = 571.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.