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Finding the Fourth Proportional to 2,034.09, 3,048.69 and 734.04

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Solution

The fourth proportional to 2,034.09, 3,048.69 and 734.04 is: 1,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.09 : 3,048.69 = 734.04 : x
  2. Step 2: Convert to fraction form
    2,034.09/3,048.69 = 734.04/x
  3. Step 3: Cross multiply
    2,034.09x = 3,048.69 × 734.04
  4. Step 4: Simplify right side
    2,034.09x = 2,237,860.41
  5. Step 5: Solve for x
    x = 2,237,860.41/2,034.09
  6. Step 6: Final answer
    x = 1,100.18

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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.