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Finding the Fourth Proportional to 3,176.51, 4,383.03 and 1,831.82

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Solution

The fourth proportional to 3,176.51, 4,383.03 and 1,831.82 is: 2,527.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.51 : 4,383.03 = 1,831.82 : x
  2. Step 2: Convert to fraction form
    3,176.51/4,383.03 = 1,831.82/x
  3. Step 3: Cross multiply
    3,176.51x = 4,383.03 × 1,831.82
  4. Step 4: Simplify right side
    3,176.51x = 8,028,922.01
  5. Step 5: Solve for x
    x = 8,028,922.01/3,176.51
  6. Step 6: Final answer
    x = 2,527.59

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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.