Home / 2,033.78-3,052.56-802.04

Finding the Fourth Proportional to 2,033.78, 3,052.56 and 802.04

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Solution

The fourth proportional to 2,033.78, 3,052.56 and 802.04 is: 1,203.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.78 : 3,052.56 = 802.04 : x
  2. Step 2: Convert to fraction form
    2,033.78/3,052.56 = 802.04/x
  3. Step 3: Cross multiply
    2,033.78x = 3,052.56 × 802.04
  4. Step 4: Simplify right side
    2,033.78x = 2,448,275.22
  5. Step 5: Solve for x
    x = 2,448,275.22/2,033.78
  6. Step 6: Final answer
    x = 1,203.81

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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.