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Finding the Fourth Proportional to 3,216.66, 4,820.67 and 1,267.80

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Solution

The fourth proportional to 3,216.66, 4,820.67 and 1,267.80 is: 1,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,216.66 : 4,820.67 = 1,267.80 : x
  2. Step 2: Convert to fraction form
    3,216.66/4,820.67 = 1,267.80/x
  3. Step 3: Cross multiply
    3,216.66x = 4,820.67 × 1,267.80
  4. Step 4: Simplify right side
    3,216.66x = 6,111,645.43
  5. Step 5: Solve for x
    x = 6,111,645.43/3,216.66
  6. Step 6: Final answer
    x = 1,900.00

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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.