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Finding the Fourth Proportional to 1,866.03, 2,796.75 and 824.91

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Solution

The fourth proportional to 1,866.03, 2,796.75 and 824.91 is: 1,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.03 : 2,796.75 = 824.91 : x
  2. Step 2: Convert to fraction form
    1,866.03/2,796.75 = 824.91/x
  3. Step 3: Cross multiply
    1,866.03x = 2,796.75 × 824.91
  4. Step 4: Simplify right side
    1,866.03x = 2,307,067.04
  5. Step 5: Solve for x
    x = 2,307,067.04/1,866.03
  6. Step 6: Final answer
    x = 1,236.35

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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.