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Finding the Fourth Proportional to 2,777.73, 3,831.50 and 2,113.13

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Solution

The fourth proportional to 2,777.73, 3,831.50 and 2,113.13 is: 2,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.73 : 3,831.50 = 2,113.13 : x
  2. Step 2: Convert to fraction form
    2,777.73/3,831.50 = 2,113.13/x
  3. Step 3: Cross multiply
    2,777.73x = 3,831.50 × 2,113.13
  4. Step 4: Simplify right side
    2,777.73x = 8,096,457.60
  5. Step 5: Solve for x
    x = 8,096,457.60/2,777.73
  6. Step 6: Final answer
    x = 2,914.77

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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.