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Finding the Fourth Proportional to 2,288.51, 3,432.93 and 827.67

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Solution

The fourth proportional to 2,288.51, 3,432.93 and 827.67 is: 1,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.51 : 3,432.93 = 827.67 : x
  2. Step 2: Convert to fraction form
    2,288.51/3,432.93 = 827.67/x
  3. Step 3: Cross multiply
    2,288.51x = 3,432.93 × 827.67
  4. Step 4: Simplify right side
    2,288.51x = 2,841,333.17
  5. Step 5: Solve for x
    x = 2,841,333.17/2,288.51
  6. Step 6: Final answer
    x = 1,241.56

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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.