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Finding the Fourth Proportional to 2,034.95, 3,052.82 and 736.31

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Solution

The fourth proportional to 2,034.95, 3,052.82 and 736.31 is: 1,104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.95 : 3,052.82 = 736.31 : x
  2. Step 2: Convert to fraction form
    2,034.95/3,052.82 = 736.31/x
  3. Step 3: Cross multiply
    2,034.95x = 3,052.82 × 736.31
  4. Step 4: Simplify right side
    2,034.95x = 2,247,831.37
  5. Step 5: Solve for x
    x = 2,247,831.37/2,034.95
  6. Step 6: Final answer
    x = 1,104.62

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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.