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Finding the Fourth Proportional to 2,562.77, 3,843.54 and 1,175.24

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Solution

The fourth proportional to 2,562.77, 3,843.54 and 1,175.24 is: 1,762.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.77 : 3,843.54 = 1,175.24 : x
  2. Step 2: Convert to fraction form
    2,562.77/3,843.54 = 1,175.24/x
  3. Step 3: Cross multiply
    2,562.77x = 3,843.54 × 1,175.24
  4. Step 4: Simplify right side
    2,562.77x = 4,517,081.95
  5. Step 5: Solve for x
    x = 4,517,081.95/2,562.77
  6. Step 6: Final answer
    x = 1,762.58

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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.