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Finding the Fourth Proportional to 2,786.98, 3,845.98 and 1,528

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Solution

The fourth proportional to 2,786.98, 3,845.98 and 1,528 is: 2,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.98 : 3,845.98 = 1,528 : x
  2. Step 2: Convert to fraction form
    2,786.98/3,845.98 = 1,528/x
  3. Step 3: Cross multiply
    2,786.98x = 3,845.98 × 1,528
  4. Step 4: Simplify right side
    2,786.98x = 5,876,657.44
  5. Step 5: Solve for x
    x = 5,876,657.44/2,786.98
  6. Step 6: Final answer
    x = 2,108.61

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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.