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Finding the Fourth Proportional to 2,263.62, 3,396.33 and 802.92

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Solution

The fourth proportional to 2,263.62, 3,396.33 and 802.92 is: 1,204.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.62 : 3,396.33 = 802.92 : x
  2. Step 2: Convert to fraction form
    2,263.62/3,396.33 = 802.92/x
  3. Step 3: Cross multiply
    2,263.62x = 3,396.33 × 802.92
  4. Step 4: Simplify right side
    2,263.62x = 2,726,981.28
  5. Step 5: Solve for x
    x = 2,726,981.28/2,263.62
  6. Step 6: Final answer
    x = 1,204.70

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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.