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Finding the Fourth Proportional to 1,872.97, 2,809.23 and 777.04

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Solution

The fourth proportional to 1,872.97, 2,809.23 and 777.04 is: 1,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.97 : 2,809.23 = 777.04 : x
  2. Step 2: Convert to fraction form
    1,872.97/2,809.23 = 777.04/x
  3. Step 3: Cross multiply
    1,872.97x = 2,809.23 × 777.04
  4. Step 4: Simplify right side
    1,872.97x = 2,182,884.08
  5. Step 5: Solve for x
    x = 2,182,884.08/1,872.97
  6. Step 6: Final answer
    x = 1,165.47

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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.