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Finding the Fourth Proportional to 2,071.62, 3,107.44 and 610.90

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Solution

The fourth proportional to 2,071.62, 3,107.44 and 610.90 is: 916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.62 : 3,107.44 = 610.90 : x
  2. Step 2: Convert to fraction form
    2,071.62/3,107.44 = 610.90/x
  3. Step 3: Cross multiply
    2,071.62x = 3,107.44 × 610.90
  4. Step 4: Simplify right side
    2,071.62x = 1,898,335.10
  5. Step 5: Solve for x
    x = 1,898,335.10/2,071.62
  6. Step 6: Final answer
    x = 916.35

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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.