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Finding the Fourth Proportional to 2,562.46, 3,843.63 and 831.08

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Solution

The fourth proportional to 2,562.46, 3,843.63 and 831.08 is: 1,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.46 : 3,843.63 = 831.08 : x
  2. Step 2: Convert to fraction form
    2,562.46/3,843.63 = 831.08/x
  3. Step 3: Cross multiply
    2,562.46x = 3,843.63 × 831.08
  4. Step 4: Simplify right side
    2,562.46x = 3,194,364.02
  5. Step 5: Solve for x
    x = 3,194,364.02/2,562.46
  6. Step 6: Final answer
    x = 1,246.60

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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.