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Finding the Fourth Proportional to 2,051.22, 3,074.86 and 752.39

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Solution

The fourth proportional to 2,051.22, 3,074.86 and 752.39 is: 1,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.22 : 3,074.86 = 752.39 : x
  2. Step 2: Convert to fraction form
    2,051.22/3,074.86 = 752.39/x
  3. Step 3: Cross multiply
    2,051.22x = 3,074.86 × 752.39
  4. Step 4: Simplify right side
    2,051.22x = 2,313,491.01
  5. Step 5: Solve for x
    x = 2,313,491.01/2,051.22
  6. Step 6: Final answer
    x = 1,127.86

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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.