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Finding the Fourth Proportional to 2,129.88, 3,192.93 and 831.06

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Solution

The fourth proportional to 2,129.88, 3,192.93 and 831.06 is: 1,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.88 : 3,192.93 = 831.06 : x
  2. Step 2: Convert to fraction form
    2,129.88/3,192.93 = 831.06/x
  3. Step 3: Cross multiply
    2,129.88x = 3,192.93 × 831.06
  4. Step 4: Simplify right side
    2,129.88x = 2,653,516.41
  5. Step 5: Solve for x
    x = 2,653,516.41/2,129.88
  6. Step 6: Final answer
    x = 1,245.85

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1.5x scale

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.