Home / 1,828.70-2,743.05-1,202.30

Finding the Fourth Proportional to 1,828.70, 2,743.05 and 1,202.30

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Solution

The fourth proportional to 1,828.70, 2,743.05 and 1,202.30 is: 1,803.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.70 : 2,743.05 = 1,202.30 : x
  2. Step 2: Convert to fraction form
    1,828.70/2,743.05 = 1,202.30/x
  3. Step 3: Cross multiply
    1,828.70x = 2,743.05 × 1,202.30
  4. Step 4: Simplify right side
    1,828.70x = 3,297,969.02
  5. Step 5: Solve for x
    x = 3,297,969.02/1,828.70
  6. Step 6: Final answer
    x = 1,803.45

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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.