Home / 2,362.26-3,543.85-802.20

Finding the Fourth Proportional to 2,362.26, 3,543.85 and 802.20

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Solution

The fourth proportional to 2,362.26, 3,543.85 and 802.20 is: 1,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.26 : 3,543.85 = 802.20 : x
  2. Step 2: Convert to fraction form
    2,362.26/3,543.85 = 802.20/x
  3. Step 3: Cross multiply
    2,362.26x = 3,543.85 × 802.20
  4. Step 4: Simplify right side
    2,362.26x = 2,842,890.76
  5. Step 5: Solve for x
    x = 2,842,890.76/2,362.26
  6. Step 6: Final answer
    x = 1,203.46

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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.