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Finding the Fourth Proportional to 2,947.25, 4,420.78 and 999.47

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Solution

The fourth proportional to 2,947.25, 4,420.78 and 999.47 is: 1,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.25 : 4,420.78 = 999.47 : x
  2. Step 2: Convert to fraction form
    2,947.25/4,420.78 = 999.47/x
  3. Step 3: Cross multiply
    2,947.25x = 4,420.78 × 999.47
  4. Step 4: Simplify right side
    2,947.25x = 4,418,445.54
  5. Step 5: Solve for x
    x = 4,418,445.54/2,947.25
  6. Step 6: Final answer
    x = 1,499.17

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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.