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Finding the Fourth Proportional to 2,883.94, 4,325.94 and 831.94

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Solution

The fourth proportional to 2,883.94, 4,325.94 and 831.94 is: 1,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.94 : 4,325.94 = 831.94 : x
  2. Step 2: Convert to fraction form
    2,883.94/4,325.94 = 831.94/x
  3. Step 3: Cross multiply
    2,883.94x = 4,325.94 × 831.94
  4. Step 4: Simplify right side
    2,883.94x = 3,598,911.71
  5. Step 5: Solve for x
    x = 3,598,911.71/2,883.94
  6. Step 6: Final answer
    x = 1,247.92

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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.