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Finding the Fourth Proportional to 2,446.05, 3,669.63 and 802.56

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Solution

The fourth proportional to 2,446.05, 3,669.63 and 802.56 is: 1,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.05 : 3,669.63 = 802.56 : x
  2. Step 2: Convert to fraction form
    2,446.05/3,669.63 = 802.56/x
  3. Step 3: Cross multiply
    2,446.05x = 3,669.63 × 802.56
  4. Step 4: Simplify right side
    2,446.05x = 2,945,098.25
  5. Step 5: Solve for x
    x = 2,945,098.25/2,446.05
  6. Step 6: Final answer
    x = 1,204.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.