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Finding the Fourth Proportional to 1,959.73, 2,701.86 and 1,428.74

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Solution

The fourth proportional to 1,959.73, 2,701.86 and 1,428.74 is: 1,969.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.73 : 2,701.86 = 1,428.74 : x
  2. Step 2: Convert to fraction form
    1,959.73/2,701.86 = 1,428.74/x
  3. Step 3: Cross multiply
    1,959.73x = 2,701.86 × 1,428.74
  4. Step 4: Simplify right side
    1,959.73x = 3,860,246.72
  5. Step 5: Solve for x
    x = 3,860,246.72/1,959.73
  6. Step 6: Final answer
    x = 1,969.79

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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.