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Finding the Fourth Proportional to 2,508.98, 3,762.86 and 1,192.14

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Solution

The fourth proportional to 2,508.98, 3,762.86 and 1,192.14 is: 1,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.98 : 3,762.86 = 1,192.14 : x
  2. Step 2: Convert to fraction form
    2,508.98/3,762.86 = 1,192.14/x
  3. Step 3: Cross multiply
    2,508.98x = 3,762.86 × 1,192.14
  4. Step 4: Simplify right side
    2,508.98x = 4,485,860.54
  5. Step 5: Solve for x
    x = 4,485,860.54/2,508.98
  6. Step 6: Final answer
    x = 1,787.93

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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.