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Finding the Fourth Proportional to 2,846.98, 4,264.98 and 1,610.61

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Solution

The fourth proportional to 2,846.98, 4,264.98 and 1,610.61 is: 2,412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846.98 : 4,264.98 = 1,610.61 : x
  2. Step 2: Convert to fraction form
    2,846.98/4,264.98 = 1,610.61/x
  3. Step 3: Cross multiply
    2,846.98x = 4,264.98 × 1,610.61
  4. Step 4: Simplify right side
    2,846.98x = 6,869,219.44
  5. Step 5: Solve for x
    x = 6,869,219.44/2,846.98
  6. Step 6: Final answer
    x = 2,412.81

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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.