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Finding the Fourth Proportional to 3,157.72, 4,357.14 and 1,831.17

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Solution

The fourth proportional to 3,157.72, 4,357.14 and 1,831.17 is: 2,526.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.72 : 4,357.14 = 1,831.17 : x
  2. Step 2: Convert to fraction form
    3,157.72/4,357.14 = 1,831.17/x
  3. Step 3: Cross multiply
    3,157.72x = 4,357.14 × 1,831.17
  4. Step 4: Simplify right side
    3,157.72x = 7,978,673.53
  5. Step 5: Solve for x
    x = 7,978,673.53/3,157.72
  6. Step 6: Final answer
    x = 2,526.72

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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.