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Finding the Fourth Proportional to 2,446.53, 3,669.03 and 802.73

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Solution

The fourth proportional to 2,446.53, 3,669.03 and 802.73 is: 1,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.53 : 3,669.03 = 802.73 : x
  2. Step 2: Convert to fraction form
    2,446.53/3,669.03 = 802.73/x
  3. Step 3: Cross multiply
    2,446.53x = 3,669.03 × 802.73
  4. Step 4: Simplify right side
    2,446.53x = 2,945,222.11
  5. Step 5: Solve for x
    x = 2,945,222.11/2,446.53
  6. Step 6: Final answer
    x = 1,203.84

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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.