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Finding the Fourth Proportional to 2,254.12, 3,109.12 and 2,068.22

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Solution

The fourth proportional to 2,254.12, 3,109.12 and 2,068.22 is: 2,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.12 : 3,109.12 = 2,068.22 : x
  2. Step 2: Convert to fraction form
    2,254.12/3,109.12 = 2,068.22/x
  3. Step 3: Cross multiply
    2,254.12x = 3,109.12 × 2,068.22
  4. Step 4: Simplify right side
    2,254.12x = 6,430,346.77
  5. Step 5: Solve for x
    x = 6,430,346.77/2,254.12
  6. Step 6: Final answer
    x = 2,852.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.