Home / 1,451.36-2,174.88-802.28

Finding the Fourth Proportional to 1,451.36, 2,174.88 and 802.28

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Solution

The fourth proportional to 1,451.36, 2,174.88 and 802.28 is: 1,202.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.36 : 2,174.88 = 802.28 : x
  2. Step 2: Convert to fraction form
    1,451.36/2,174.88 = 802.28/x
  3. Step 3: Cross multiply
    1,451.36x = 2,174.88 × 802.28
  4. Step 4: Simplify right side
    1,451.36x = 1,744,862.73
  5. Step 5: Solve for x
    x = 1,744,862.73/1,451.36
  6. Step 6: Final answer
    x = 1,202.23

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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.