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Finding the Fourth Proportional to 2,831.76, 3,909.06 and 2,204.01

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Solution

The fourth proportional to 2,831.76, 3,909.06 and 2,204.01 is: 3,042.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.76 : 3,909.06 = 2,204.01 : x
  2. Step 2: Convert to fraction form
    2,831.76/3,909.06 = 2,204.01/x
  3. Step 3: Cross multiply
    2,831.76x = 3,909.06 × 2,204.01
  4. Step 4: Simplify right side
    2,831.76x = 8,615,607.33
  5. Step 5: Solve for x
    x = 8,615,607.33/2,831.76
  6. Step 6: Final answer
    x = 3,042.49

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