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Finding the Fourth Proportional to 2,185.48, 3,278.76 and 704.70

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Solution

The fourth proportional to 2,185.48, 3,278.76 and 704.70 is: 1,057.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.48 : 3,278.76 = 704.70 : x
  2. Step 2: Convert to fraction form
    2,185.48/3,278.76 = 704.70/x
  3. Step 3: Cross multiply
    2,185.48x = 3,278.76 × 704.70
  4. Step 4: Simplify right side
    2,185.48x = 2,310,543.49
  5. Step 5: Solve for x
    x = 2,310,543.49/2,185.48
  6. Step 6: Final answer
    x = 1,057.22

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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.