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Finding the Fourth Proportional to 2,270.50, 3,133.29 and 1,326.94

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Solution

The fourth proportional to 2,270.50, 3,133.29 and 1,326.94 is: 1,831.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.50 : 3,133.29 = 1,326.94 : x
  2. Step 2: Convert to fraction form
    2,270.50/3,133.29 = 1,326.94/x
  3. Step 3: Cross multiply
    2,270.50x = 3,133.29 × 1,326.94
  4. Step 4: Simplify right side
    2,270.50x = 4,157,687.83
  5. Step 5: Solve for x
    x = 4,157,687.83/2,270.50
  6. Step 6: Final answer
    x = 1,831.18

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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.