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Finding the Fourth Proportional to 4,510.74, 6,764.85 and 1,911.90

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Solution

The fourth proportional to 4,510.74, 6,764.85 and 1,911.90 is: 2,867.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.74 : 6,764.85 = 1,911.90 : x
  2. Step 2: Convert to fraction form
    4,510.74/6,764.85 = 1,911.90/x
  3. Step 3: Cross multiply
    4,510.74x = 6,764.85 × 1,911.90
  4. Step 4: Simplify right side
    4,510.74x = 12,933,716.72
  5. Step 5: Solve for x
    x = 12,933,716.72/4,510.74
  6. Step 6: Final answer
    x = 2,867.32

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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.