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Finding the Fourth Proportional to 2,831.86, 4,246.97 and 982.90

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Solution

The fourth proportional to 2,831.86, 4,246.97 and 982.90 is: 1,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.86 : 4,246.97 = 982.90 : x
  2. Step 2: Convert to fraction form
    2,831.86/4,246.97 = 982.90/x
  3. Step 3: Cross multiply
    2,831.86x = 4,246.97 × 982.90
  4. Step 4: Simplify right side
    2,831.86x = 4,174,346.81
  5. Step 5: Solve for x
    x = 4,174,346.81/2,831.86
  6. Step 6: Final answer
    x = 1,474.07

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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.