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Finding the Fourth Proportional to 2,777.48, 3,827.62 and 1,990.16

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Solution

The fourth proportional to 2,777.48, 3,827.62 and 1,990.16 is: 2,742.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.48 : 3,827.62 = 1,990.16 : x
  2. Step 2: Convert to fraction form
    2,777.48/3,827.62 = 1,990.16/x
  3. Step 3: Cross multiply
    2,777.48x = 3,827.62 × 1,990.16
  4. Step 4: Simplify right side
    2,777.48x = 7,617,573.92
  5. Step 5: Solve for x
    x = 7,617,573.92/2,777.48
  6. Step 6: Final answer
    x = 2,742.62

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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.