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Finding the Fourth Proportional to 2,130.45, 3,195.39 and 831.75

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Solution

The fourth proportional to 2,130.45, 3,195.39 and 831.75 is: 1,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.45 : 3,195.39 = 831.75 : x
  2. Step 2: Convert to fraction form
    2,130.45/3,195.39 = 831.75/x
  3. Step 3: Cross multiply
    2,130.45x = 3,195.39 × 831.75
  4. Step 4: Simplify right side
    2,130.45x = 2,657,765.63
  5. Step 5: Solve for x
    x = 2,657,765.63/2,130.45
  6. Step 6: Final answer
    x = 1,247.51

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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.