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Finding the Fourth Proportional to 2,254.51, 3,119.75 and 1,922.41

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Solution

The fourth proportional to 2,254.51, 3,119.75 and 1,922.41 is: 2,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,254.51 : 3,119.75 = 1,922.41 : x
  2. Step 2: Convert to fraction form
    2,254.51/3,119.75 = 1,922.41/x
  3. Step 3: Cross multiply
    2,254.51x = 3,119.75 × 1,922.41
  4. Step 4: Simplify right side
    2,254.51x = 5,997,438.60
  5. Step 5: Solve for x
    x = 5,997,438.60/2,254.51
  6. Step 6: Final answer
    x = 2,660.20

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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.