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Finding the Fourth Proportional to 1,864.97, 2,797.73 and 566.54

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Solution

The fourth proportional to 1,864.97, 2,797.73 and 566.54 is: 849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.97 : 2,797.73 = 566.54 : x
  2. Step 2: Convert to fraction form
    1,864.97/2,797.73 = 566.54/x
  3. Step 3: Cross multiply
    1,864.97x = 2,797.73 × 566.54
  4. Step 4: Simplify right side
    1,864.97x = 1,585,009.13
  5. Step 5: Solve for x
    x = 1,585,009.13/1,864.97
  6. Step 6: Final answer
    x = 849.89

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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.