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Finding the Fourth Proportional to 2,063.10, 2,847.87 and 1,565.70

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Solution

The fourth proportional to 2,063.10, 2,847.87 and 1,565.70 is: 2,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.10 : 2,847.87 = 1,565.70 : x
  2. Step 2: Convert to fraction form
    2,063.10/2,847.87 = 1,565.70/x
  3. Step 3: Cross multiply
    2,063.10x = 2,847.87 × 1,565.70
  4. Step 4: Simplify right side
    2,063.10x = 4,458,910.06
  5. Step 5: Solve for x
    x = 4,458,910.06/2,063.10
  6. Step 6: Final answer
    x = 2,161.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.