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Finding the Fourth Proportional to 1,732.74, 2,392.13 and 1,166.41

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Solution

The fourth proportional to 1,732.74, 2,392.13 and 1,166.41 is: 1,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.74 : 2,392.13 = 1,166.41 : x
  2. Step 2: Convert to fraction form
    1,732.74/2,392.13 = 1,166.41/x
  3. Step 3: Cross multiply
    1,732.74x = 2,392.13 × 1,166.41
  4. Step 4: Simplify right side
    1,732.74x = 2,790,210.26
  5. Step 5: Solve for x
    x = 2,790,210.26/1,732.74
  6. Step 6: Final answer
    x = 1,610.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.