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Finding the Fourth Proportional to 2,552.80, 3,826.40 and 1,318.58

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Solution

The fourth proportional to 2,552.80, 3,826.40 and 1,318.58 is: 1,976.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.80 : 3,826.40 = 1,318.58 : x
  2. Step 2: Convert to fraction form
    2,552.80/3,826.40 = 1,318.58/x
  3. Step 3: Cross multiply
    2,552.80x = 3,826.40 × 1,318.58
  4. Step 4: Simplify right side
    2,552.80x = 5,045,414.51
  5. Step 5: Solve for x
    x = 5,045,414.51/2,552.80
  6. Step 6: Final answer
    x = 1,976.42

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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.