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Finding the Fourth Proportional to 2,777.46, 3,832.90 and 1,518.49

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Solution

The fourth proportional to 2,777.46, 3,832.90 and 1,518.49 is: 2,095.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.46 : 3,832.90 = 1,518.49 : x
  2. Step 2: Convert to fraction form
    2,777.46/3,832.90 = 1,518.49/x
  3. Step 3: Cross multiply
    2,777.46x = 3,832.90 × 1,518.49
  4. Step 4: Simplify right side
    2,777.46x = 5,820,220.32
  5. Step 5: Solve for x
    x = 5,820,220.32/2,777.46
  6. Step 6: Final answer
    x = 2,095.52

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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.