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Finding the Fourth Proportional to 2,947.75, 4,069.89 and 1,829.14

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Solution

The fourth proportional to 2,947.75, 4,069.89 and 1,829.14 is: 2,525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.75 : 4,069.89 = 1,829.14 : x
  2. Step 2: Convert to fraction form
    2,947.75/4,069.89 = 1,829.14/x
  3. Step 3: Cross multiply
    2,947.75x = 4,069.89 × 1,829.14
  4. Step 4: Simplify right side
    2,947.75x = 7,444,398.59
  5. Step 5: Solve for x
    x = 7,444,398.59/2,947.75
  6. Step 6: Final answer
    x = 2,525.45

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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.