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Finding the Fourth Proportional to 1,838.52, 2,537.46 and 1,777.77

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Solution

The fourth proportional to 1,838.52, 2,537.46 and 1,777.77 is: 2,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.52 : 2,537.46 = 1,777.77 : x
  2. Step 2: Convert to fraction form
    1,838.52/2,537.46 = 1,777.77/x
  3. Step 3: Cross multiply
    1,838.52x = 2,537.46 × 1,777.77
  4. Step 4: Simplify right side
    1,838.52x = 4,511,020.26
  5. Step 5: Solve for x
    x = 4,511,020.26/1,838.52
  6. Step 6: Final answer
    x = 2,453.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.