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Finding the Fourth Proportional to 2,254.09, 3,109.07 and 2,068.19

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Solution

The fourth proportional to 2,254.09, 3,109.07 and 2,068.19 is: 2,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.09 : 3,109.07 = 2,068.19 : x
  2. Step 2: Convert to fraction form
    2,254.09/3,109.07 = 2,068.19/x
  3. Step 3: Cross multiply
    2,254.09x = 3,109.07 × 2,068.19
  4. Step 4: Simplify right side
    2,254.09x = 6,430,147.48
  5. Step 5: Solve for x
    x = 6,430,147.48/2,254.09
  6. Step 6: Final answer
    x = 2,852.66

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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.