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Finding the Fourth Proportional to 2,117.88, 3,176.43 and 801.75

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Solution

The fourth proportional to 2,117.88, 3,176.43 and 801.75 is: 1,202.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.88 : 3,176.43 = 801.75 : x
  2. Step 2: Convert to fraction form
    2,117.88/3,176.43 = 801.75/x
  3. Step 3: Cross multiply
    2,117.88x = 3,176.43 × 801.75
  4. Step 4: Simplify right side
    2,117.88x = 2,546,702.75
  5. Step 5: Solve for x
    x = 2,546,702.75/2,117.88
  6. Step 6: Final answer
    x = 1,202.48

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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.