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Finding the Fourth Proportional to 2,446.47, 3,669.03 and 1,405.22

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Solution

The fourth proportional to 2,446.47, 3,669.03 and 1,405.22 is: 2,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446.47 : 3,669.03 = 1,405.22 : x
  2. Step 2: Convert to fraction form
    2,446.47/3,669.03 = 1,405.22/x
  3. Step 3: Cross multiply
    2,446.47x = 3,669.03 × 1,405.22
  4. Step 4: Simplify right side
    2,446.47x = 5,155,775.99
  5. Step 5: Solve for x
    x = 5,155,775.99/2,446.47
  6. Step 6: Final answer
    x = 2,107.43

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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.