Home / 1,219.20-1,828.80-341.70

Finding the Fourth Proportional to 1,219.20, 1,828.80 and 341.70

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Solution

The fourth proportional to 1,219.20, 1,828.80 and 341.70 is: 512.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.20 : 1,828.80 = 341.70 : x
  2. Step 2: Convert to fraction form
    1,219.20/1,828.80 = 341.70/x
  3. Step 3: Cross multiply
    1,219.20x = 1,828.80 × 341.70
  4. Step 4: Simplify right side
    1,219.20x = 624,900.96
  5. Step 5: Solve for x
    x = 624,900.96/1,219.20
  6. Step 6: Final answer
    x = 512.55

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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.