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Finding the Fourth Proportional to 2,015.76, 2,782.32 and 1,131.86

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Solution

The fourth proportional to 2,015.76, 2,782.32 and 1,131.86 is: 1,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.76 : 2,782.32 = 1,131.86 : x
  2. Step 2: Convert to fraction form
    2,015.76/2,782.32 = 1,131.86/x
  3. Step 3: Cross multiply
    2,015.76x = 2,782.32 × 1,131.86
  4. Step 4: Simplify right side
    2,015.76x = 3,149,196.72
  5. Step 5: Solve for x
    x = 3,149,196.72/2,015.76
  6. Step 6: Final answer
    x = 1,562.29

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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.