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Finding the Fourth Proportional to 1,867.97, 2,803.23 and 772.34

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Solution

The fourth proportional to 1,867.97, 2,803.23 and 772.34 is: 1,159.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.97 : 2,803.23 = 772.34 : x
  2. Step 2: Convert to fraction form
    1,867.97/2,803.23 = 772.34/x
  3. Step 3: Cross multiply
    1,867.97x = 2,803.23 × 772.34
  4. Step 4: Simplify right side
    1,867.97x = 2,165,032.64
  5. Step 5: Solve for x
    x = 2,165,032.64/1,867.97
  6. Step 6: Final answer
    x = 1,159.03

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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.