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Finding the Fourth Proportional to 2,831.66, 4,247.55 and 883.88

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Solution

The fourth proportional to 2,831.66, 4,247.55 and 883.88 is: 1,325.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.66 : 4,247.55 = 883.88 : x
  2. Step 2: Convert to fraction form
    2,831.66/4,247.55 = 883.88/x
  3. Step 3: Cross multiply
    2,831.66x = 4,247.55 × 883.88
  4. Step 4: Simplify right side
    2,831.66x = 3,754,324.49
  5. Step 5: Solve for x
    x = 3,754,324.49/2,831.66
  6. Step 6: Final answer
    x = 1,325.84

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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.