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Finding the Fourth Proportional to 1,762.44, 2,414.24 and 1,743

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Solution

The fourth proportional to 1,762.44, 2,414.24 and 1,743 is: 2,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.44 : 2,414.24 = 1,743 : x
  2. Step 2: Convert to fraction form
    1,762.44/2,414.24 = 1,743/x
  3. Step 3: Cross multiply
    1,762.44x = 2,414.24 × 1,743
  4. Step 4: Simplify right side
    1,762.44x = 4,208,011.61
  5. Step 5: Solve for x
    x = 4,208,011.61/1,762.44
  6. Step 6: Final answer
    x = 2,387.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.