Home / 2,282.92-3,424.20-802.04

Finding the Fourth Proportional to 2,282.92, 3,424.20 and 802.04

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Solution

The fourth proportional to 2,282.92, 3,424.20 and 802.04 is: 1,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.92 : 3,424.20 = 802.04 : x
  2. Step 2: Convert to fraction form
    2,282.92/3,424.20 = 802.04/x
  3. Step 3: Cross multiply
    2,282.92x = 3,424.20 × 802.04
  4. Step 4: Simplify right side
    2,282.92x = 2,746,345.37
  5. Step 5: Solve for x
    x = 2,746,345.37/2,282.92
  6. Step 6: Final answer
    x = 1,203.00

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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.