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Finding the Fourth Proportional to 2,151.63, 3,227.34 and 690.59

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Solution

The fourth proportional to 2,151.63, 3,227.34 and 690.59 is: 1,035.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.63 : 3,227.34 = 690.59 : x
  2. Step 2: Convert to fraction form
    2,151.63/3,227.34 = 690.59/x
  3. Step 3: Cross multiply
    2,151.63x = 3,227.34 × 690.59
  4. Step 4: Simplify right side
    2,151.63x = 2,228,779.39
  5. Step 5: Solve for x
    x = 2,228,779.39/2,151.63
  6. Step 6: Final answer
    x = 1,035.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.