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Finding the Fourth Proportional to 2,631.80, 3,947.32 and 782.84

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Solution

The fourth proportional to 2,631.80, 3,947.32 and 782.84 is: 1,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.80 : 3,947.32 = 782.84 : x
  2. Step 2: Convert to fraction form
    2,631.80/3,947.32 = 782.84/x
  3. Step 3: Cross multiply
    2,631.80x = 3,947.32 × 782.84
  4. Step 4: Simplify right side
    2,631.80x = 3,090,119.99
  5. Step 5: Solve for x
    x = 3,090,119.99/2,631.80
  6. Step 6: Final answer
    x = 1,174.15

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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.