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Finding the Fourth Proportional to 2,064.73, 2,847.73 and 1,435.25

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Solution

The fourth proportional to 2,064.73, 2,847.73 and 1,435.25 is: 1,979.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.73 : 2,847.73 = 1,435.25 : x
  2. Step 2: Convert to fraction form
    2,064.73/2,847.73 = 1,435.25/x
  3. Step 3: Cross multiply
    2,064.73x = 2,847.73 × 1,435.25
  4. Step 4: Simplify right side
    2,064.73x = 4,087,204.48
  5. Step 5: Solve for x
    x = 4,087,204.48/2,064.73
  6. Step 6: Final answer
    x = 1,979.53

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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.