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Finding the Fourth Proportional to 2,363.36, 3,543.41 and 802.62

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Solution

The fourth proportional to 2,363.36, 3,543.41 and 802.62 is: 1,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.36 : 3,543.41 = 802.62 : x
  2. Step 2: Convert to fraction form
    2,363.36/3,543.41 = 802.62/x
  3. Step 3: Cross multiply
    2,363.36x = 3,543.41 × 802.62
  4. Step 4: Simplify right side
    2,363.36x = 2,844,007.72
  5. Step 5: Solve for x
    x = 2,844,007.72/2,363.36
  6. Step 6: Final answer
    x = 1,203.38

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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.