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Finding the Fourth Proportional to 1,867, 2,800.56 and 568.48

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Solution

The fourth proportional to 1,867, 2,800.56 and 568.48 is: 852.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867 : 2,800.56 = 568.48 : x
  2. Step 2: Convert to fraction form
    1,867/2,800.56 = 568.48/x
  3. Step 3: Cross multiply
    1,867x = 2,800.56 × 568.48
  4. Step 4: Simplify right side
    1,867x = 1,592,062.35
  5. Step 5: Solve for x
    x = 1,592,062.35/1,867
  6. Step 6: Final answer
    x = 852.74

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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.