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Finding the Fourth Proportional to 2,569.30, 3,854.62 and 720.42

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Solution

The fourth proportional to 2,569.30, 3,854.62 and 720.42 is: 1,080.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.30 : 3,854.62 = 720.42 : x
  2. Step 2: Convert to fraction form
    2,569.30/3,854.62 = 720.42/x
  3. Step 3: Cross multiply
    2,569.30x = 3,854.62 × 720.42
  4. Step 4: Simplify right side
    2,569.30x = 2,776,945.34
  5. Step 5: Solve for x
    x = 2,776,945.34/2,569.30
  6. Step 6: Final answer
    x = 1,080.82

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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.