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Finding the Fourth Proportional to 2,131.54, 3,182.92 and 1,742.30

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Solution

The fourth proportional to 2,131.54, 3,182.92 and 1,742.30 is: 2,601.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131.54 : 3,182.92 = 1,742.30 : x
  2. Step 2: Convert to fraction form
    2,131.54/3,182.92 = 1,742.30/x
  3. Step 3: Cross multiply
    2,131.54x = 3,182.92 × 1,742.30
  4. Step 4: Simplify right side
    2,131.54x = 5,545,602.98
  5. Step 5: Solve for x
    x = 5,545,602.98/2,131.54
  6. Step 6: Final answer
    x = 2,601.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.