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Finding the Fourth Proportional to 1,864.88, 2,797.50 and 566.12

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Solution

The fourth proportional to 1,864.88, 2,797.50 and 566.12 is: 849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.88 : 2,797.50 = 566.12 : x
  2. Step 2: Convert to fraction form
    1,864.88/2,797.50 = 566.12/x
  3. Step 3: Cross multiply
    1,864.88x = 2,797.50 × 566.12
  4. Step 4: Simplify right side
    1,864.88x = 1,583,720.70
  5. Step 5: Solve for x
    x = 1,583,720.70/1,864.88
  6. Step 6: Final answer
    x = 849.23

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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.