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Finding the Fourth Proportional to 3,378.38, 4,662.16 and 2,051.84

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Solution

The fourth proportional to 3,378.38, 4,662.16 and 2,051.84 is: 2,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.38 : 4,662.16 = 2,051.84 : x
  2. Step 2: Convert to fraction form
    3,378.38/4,662.16 = 2,051.84/x
  3. Step 3: Cross multiply
    3,378.38x = 4,662.16 × 2,051.84
  4. Step 4: Simplify right side
    3,378.38x = 9,566,012.90
  5. Step 5: Solve for x
    x = 9,566,012.90/3,378.38
  6. Step 6: Final answer
    x = 2,831.54

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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.