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Finding the Fourth Proportional to 2,446, 3,669.18 and 802.48

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Solution

The fourth proportional to 2,446, 3,669.18 and 802.48 is: 1,203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446 : 3,669.18 = 802.48 : x
  2. Step 2: Convert to fraction form
    2,446/3,669.18 = 802.48/x
  3. Step 3: Cross multiply
    2,446x = 3,669.18 × 802.48
  4. Step 4: Simplify right side
    2,446x = 2,944,443.57
  5. Step 5: Solve for x
    x = 2,944,443.57/2,446
  6. Step 6: Final answer
    x = 1,203.78

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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.