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Finding the Fourth Proportional to 2,569.05, 3,854.50 and 1,336.43

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Solution

The fourth proportional to 2,569.05, 3,854.50 and 1,336.43 is: 2,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.05 : 3,854.50 = 1,336.43 : x
  2. Step 2: Convert to fraction form
    2,569.05/3,854.50 = 1,336.43/x
  3. Step 3: Cross multiply
    2,569.05x = 3,854.50 × 1,336.43
  4. Step 4: Simplify right side
    2,569.05x = 5,151,275.73
  5. Step 5: Solve for x
    x = 5,151,275.73/2,569.05
  6. Step 6: Final answer
    x = 2,005.13

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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.