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Finding the Fourth Proportional to 2,071.84, 3,108.24 and 610.96

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Solution

The fourth proportional to 2,071.84, 3,108.24 and 610.96 is: 916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.84 : 3,108.24 = 610.96 : x
  2. Step 2: Convert to fraction form
    2,071.84/3,108.24 = 610.96/x
  3. Step 3: Cross multiply
    2,071.84x = 3,108.24 × 610.96
  4. Step 4: Simplify right side
    2,071.84x = 1,899,010.31
  5. Step 5: Solve for x
    x = 1,899,010.31/2,071.84
  6. Step 6: Final answer
    x = 916.58

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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.