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Finding the Fourth Proportional to 2,669.83, 4,004.82 and 722.05

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Solution

The fourth proportional to 2,669.83, 4,004.82 and 722.05 is: 1,083.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.83 : 4,004.82 = 722.05 : x
  2. Step 2: Convert to fraction form
    2,669.83/4,004.82 = 722.05/x
  3. Step 3: Cross multiply
    2,669.83x = 4,004.82 × 722.05
  4. Step 4: Simplify right side
    2,669.83x = 2,891,656.65
  5. Step 5: Solve for x
    x = 2,891,656.65/2,669.83
  6. Step 6: Final answer
    x = 1,083.09

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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.