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Finding the Fourth Proportional to 2,324.46, 3,488.43 and 1,626.54

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Solution

The fourth proportional to 2,324.46, 3,488.43 and 1,626.54 is: 2,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.46 : 3,488.43 = 1,626.54 : x
  2. Step 2: Convert to fraction form
    2,324.46/3,488.43 = 1,626.54/x
  3. Step 3: Cross multiply
    2,324.46x = 3,488.43 × 1,626.54
  4. Step 4: Simplify right side
    2,324.46x = 5,674,070.93
  5. Step 5: Solve for x
    x = 5,674,070.93/2,324.46
  6. Step 6: Final answer
    x = 2,441.03

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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.