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Finding the Fourth Proportional to 2,176.75, 3,001.97 and 1,756.97

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Solution

The fourth proportional to 2,176.75, 3,001.97 and 1,756.97 is: 2,423.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176.75 : 3,001.97 = 1,756.97 : x
  2. Step 2: Convert to fraction form
    2,176.75/3,001.97 = 1,756.97/x
  3. Step 3: Cross multiply
    2,176.75x = 3,001.97 × 1,756.97
  4. Step 4: Simplify right side
    2,176.75x = 5,274,356.22
  5. Step 5: Solve for x
    x = 5,274,356.22/2,176.75
  6. Step 6: Final answer
    x = 2,423.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.