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Finding the Fourth Proportional to 2,767.83, 4,150.71 and 1,012.26

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Solution

The fourth proportional to 2,767.83, 4,150.71 and 1,012.26 is: 1,518.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.83 : 4,150.71 = 1,012.26 : x
  2. Step 2: Convert to fraction form
    2,767.83/4,150.71 = 1,012.26/x
  3. Step 3: Cross multiply
    2,767.83x = 4,150.71 × 1,012.26
  4. Step 4: Simplify right side
    2,767.83x = 4,201,597.70
  5. Step 5: Solve for x
    x = 4,201,597.70/2,767.83
  6. Step 6: Final answer
    x = 1,518.01

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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.