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Finding the Fourth Proportional to 1,832.71, 2,525.74 and 1,301.61

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Solution

The fourth proportional to 1,832.71, 2,525.74 and 1,301.61 is: 1,793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.71 : 2,525.74 = 1,301.61 : x
  2. Step 2: Convert to fraction form
    1,832.71/2,525.74 = 1,301.61/x
  3. Step 3: Cross multiply
    1,832.71x = 2,525.74 × 1,301.61
  4. Step 4: Simplify right side
    1,832.71x = 3,287,542.03
  5. Step 5: Solve for x
    x = 3,287,542.03/1,832.71
  6. Step 6: Final answer
    x = 1,793.82

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