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Finding the Fourth Proportional to 2,105.70, 3,152.31 and 1,560.33

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Solution

The fourth proportional to 2,105.70, 3,152.31 and 1,560.33 is: 2,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.70 : 3,152.31 = 1,560.33 : x
  2. Step 2: Convert to fraction form
    2,105.70/3,152.31 = 1,560.33/x
  3. Step 3: Cross multiply
    2,105.70x = 3,152.31 × 1,560.33
  4. Step 4: Simplify right side
    2,105.70x = 4,918,643.86
  5. Step 5: Solve for x
    x = 4,918,643.86/2,105.70
  6. Step 6: Final answer
    x = 2,335.87

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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.