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Finding the Fourth Proportional to 2,569.33, 3,854.09 and 720.62

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Solution

The fourth proportional to 2,569.33, 3,854.09 and 720.62 is: 1,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.33 : 3,854.09 = 720.62 : x
  2. Step 2: Convert to fraction form
    2,569.33/3,854.09 = 720.62/x
  3. Step 3: Cross multiply
    2,569.33x = 3,854.09 × 720.62
  4. Step 4: Simplify right side
    2,569.33x = 2,777,334.34
  5. Step 5: Solve for x
    x = 2,777,334.34/2,569.33
  6. Step 6: Final answer
    x = 1,080.96

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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.