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Finding the Fourth Proportional to 2,074.98, 3,112.47 and 687.94

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Solution

The fourth proportional to 2,074.98, 3,112.47 and 687.94 is: 1,031.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.98 : 3,112.47 = 687.94 : x
  2. Step 2: Convert to fraction form
    2,074.98/3,112.47 = 687.94/x
  3. Step 3: Cross multiply
    2,074.98x = 3,112.47 × 687.94
  4. Step 4: Simplify right side
    2,074.98x = 2,141,192.61
  5. Step 5: Solve for x
    x = 2,141,192.61/2,074.98
  6. Step 6: Final answer
    x = 1,031.91

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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.