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Finding the Fourth Proportional to 2,059.54, 3,086.36 and 1,948.66

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Solution

The fourth proportional to 2,059.54, 3,086.36 and 1,948.66 is: 2,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.54 : 3,086.36 = 1,948.66 : x
  2. Step 2: Convert to fraction form
    2,059.54/3,086.36 = 1,948.66/x
  3. Step 3: Cross multiply
    2,059.54x = 3,086.36 × 1,948.66
  4. Step 4: Simplify right side
    2,059.54x = 6,014,266.28
  5. Step 5: Solve for x
    x = 6,014,266.28/2,059.54
  6. Step 6: Final answer
    x = 2,920.20

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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.