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Finding the Fourth Proportional to 2,446.63, 3,669.17 and 802.79

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Solution

The fourth proportional to 2,446.63, 3,669.17 and 802.79 is: 1,203.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.63 : 3,669.17 = 802.79 : x
  2. Step 2: Convert to fraction form
    2,446.63/3,669.17 = 802.79/x
  3. Step 3: Cross multiply
    2,446.63x = 3,669.17 × 802.79
  4. Step 4: Simplify right side
    2,446.63x = 2,945,578.14
  5. Step 5: Solve for x
    x = 2,945,578.14/2,446.63
  6. Step 6: Final answer
    x = 1,203.93

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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.