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Finding the Fourth Proportional to 2,831.13, 4,245.82 and 981.81

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Solution

The fourth proportional to 2,831.13, 4,245.82 and 981.81 is: 1,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.13 : 4,245.82 = 981.81 : x
  2. Step 2: Convert to fraction form
    2,831.13/4,245.82 = 981.81/x
  3. Step 3: Cross multiply
    2,831.13x = 4,245.82 × 981.81
  4. Step 4: Simplify right side
    2,831.13x = 4,168,588.53
  5. Step 5: Solve for x
    x = 4,168,588.53/2,831.13
  6. Step 6: Final answer
    x = 1,472.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.