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Finding the Fourth Proportional to 2,071.57, 3,107.86 and 610.70

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Solution

The fourth proportional to 2,071.57, 3,107.86 and 610.70 is: 916.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.57 : 3,107.86 = 610.70 : x
  2. Step 2: Convert to fraction form
    2,071.57/3,107.86 = 610.70/x
  3. Step 3: Cross multiply
    2,071.57x = 3,107.86 × 610.70
  4. Step 4: Simplify right side
    2,071.57x = 1,897,976.34
  5. Step 5: Solve for x
    x = 1,897,976.34/2,071.57
  6. Step 6: Final answer
    x = 916.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.