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Finding the Fourth Proportional to 2,783.82, 3,831.93 and 2,521.38

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Solution

The fourth proportional to 2,783.82, 3,831.93 and 2,521.38 is: 3,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.82 : 3,831.93 = 2,521.38 : x
  2. Step 2: Convert to fraction form
    2,783.82/3,831.93 = 2,521.38/x
  3. Step 3: Cross multiply
    2,783.82x = 3,831.93 × 2,521.38
  4. Step 4: Simplify right side
    2,783.82x = 9,661,751.66
  5. Step 5: Solve for x
    x = 9,661,751.66/2,783.82
  6. Step 6: Final answer
    x = 3,470.68

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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.