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Finding the Fourth Proportional to 2,324.04, 3,502.05 and 1,922.22

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Solution

The fourth proportional to 2,324.04, 3,502.05 and 1,922.22 is: 2,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.04 : 3,502.05 = 1,922.22 : x
  2. Step 2: Convert to fraction form
    2,324.04/3,502.05 = 1,922.22/x
  3. Step 3: Cross multiply
    2,324.04x = 3,502.05 × 1,922.22
  4. Step 4: Simplify right side
    2,324.04x = 6,731,710.55
  5. Step 5: Solve for x
    x = 6,731,710.55/2,324.04
  6. Step 6: Final answer
    x = 2,896.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.