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Finding the Fourth Proportional to 2,429.33, 3,643.25 and 673.91

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Solution

The fourth proportional to 2,429.33, 3,643.25 and 673.91 is: 1,010.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.33 : 3,643.25 = 673.91 : x
  2. Step 2: Convert to fraction form
    2,429.33/3,643.25 = 673.91/x
  3. Step 3: Cross multiply
    2,429.33x = 3,643.25 × 673.91
  4. Step 4: Simplify right side
    2,429.33x = 2,455,201.02
  5. Step 5: Solve for x
    x = 2,455,201.02/2,429.33
  6. Step 6: Final answer
    x = 1,010.65

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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.