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Finding the Fourth Proportional to 2,569.40, 3,854.29 and 720.66

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Solution

The fourth proportional to 2,569.40, 3,854.29 and 720.66 is: 1,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.40 : 3,854.29 = 720.66 : x
  2. Step 2: Convert to fraction form
    2,569.40/3,854.29 = 720.66/x
  3. Step 3: Cross multiply
    2,569.40x = 3,854.29 × 720.66
  4. Step 4: Simplify right side
    2,569.40x = 2,777,632.63
  5. Step 5: Solve for x
    x = 2,777,632.63/2,569.40
  6. Step 6: Final answer
    x = 1,081.04

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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.