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Finding the Fourth Proportional to 3,157.42, 4,357.42 and 1,831.12

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Solution

The fourth proportional to 3,157.42, 4,357.42 and 1,831.12 is: 2,527.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.42 : 4,357.42 = 1,831.12 : x
  2. Step 2: Convert to fraction form
    3,157.42/4,357.42 = 1,831.12/x
  3. Step 3: Cross multiply
    3,157.42x = 4,357.42 × 1,831.12
  4. Step 4: Simplify right side
    3,157.42x = 7,978,958.91
  5. Step 5: Solve for x
    x = 7,978,958.91/3,157.42
  6. Step 6: Final answer
    x = 2,527.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.