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Finding the Fourth Proportional to 2,446.43, 3,669.66 and 985.23

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Solution

The fourth proportional to 2,446.43, 3,669.66 and 985.23 is: 1,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.43 : 3,669.66 = 985.23 : x
  2. Step 2: Convert to fraction form
    2,446.43/3,669.66 = 985.23/x
  3. Step 3: Cross multiply
    2,446.43x = 3,669.66 × 985.23
  4. Step 4: Simplify right side
    2,446.43x = 3,615,459.12
  5. Step 5: Solve for x
    x = 3,615,459.12/2,446.43
  6. Step 6: Final answer
    x = 1,477.85

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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.