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Finding the Fourth Proportional to 2,831.80, 3,908.70 and 1,712.74

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Solution

The fourth proportional to 2,831.80, 3,908.70 and 1,712.74 is: 2,364.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.80 : 3,908.70 = 1,712.74 : x
  2. Step 2: Convert to fraction form
    2,831.80/3,908.70 = 1,712.74/x
  3. Step 3: Cross multiply
    2,831.80x = 3,908.70 × 1,712.74
  4. Step 4: Simplify right side
    2,831.80x = 6,694,586.84
  5. Step 5: Solve for x
    x = 6,694,586.84/2,831.80
  6. Step 6: Final answer
    x = 2,364.07

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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.