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Finding the Fourth Proportional to 2,010.76, 3,015.86 and 1,120.42

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Solution

The fourth proportional to 2,010.76, 3,015.86 and 1,120.42 is: 1,680.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.76 : 3,015.86 = 1,120.42 : x
  2. Step 2: Convert to fraction form
    2,010.76/3,015.86 = 1,120.42/x
  3. Step 3: Cross multiply
    2,010.76x = 3,015.86 × 1,120.42
  4. Step 4: Simplify right side
    2,010.76x = 3,379,029.86
  5. Step 5: Solve for x
    x = 3,379,029.86/2,010.76
  6. Step 6: Final answer
    x = 1,680.47

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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.