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Finding the Fourth Proportional to 2,644.33, 3,959.12 and 2,030.53

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Solution

The fourth proportional to 2,644.33, 3,959.12 and 2,030.53 is: 3,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.33 : 3,959.12 = 2,030.53 : x
  2. Step 2: Convert to fraction form
    2,644.33/3,959.12 = 2,030.53/x
  3. Step 3: Cross multiply
    2,644.33x = 3,959.12 × 2,030.53
  4. Step 4: Simplify right side
    2,644.33x = 8,039,101.78
  5. Step 5: Solve for x
    x = 8,039,101.78/2,644.33
  6. Step 6: Final answer
    x = 3,040.13

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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.