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Finding the Fourth Proportional to 1,947.85, 2,921.96 and 631.75

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Solution

The fourth proportional to 1,947.85, 2,921.96 and 631.75 is: 947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.85 : 2,921.96 = 631.75 : x
  2. Step 2: Convert to fraction form
    1,947.85/2,921.96 = 631.75/x
  3. Step 3: Cross multiply
    1,947.85x = 2,921.96 × 631.75
  4. Step 4: Simplify right side
    1,947.85x = 1,845,944.43
  5. Step 5: Solve for x
    x = 1,845,944.43/1,947.85
  6. Step 6: Final answer
    x = 947.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.