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Finding the Fourth Proportional to 3,380.42, 4,664.48 and 2,051.82

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Solution

The fourth proportional to 3,380.42, 4,664.48 and 2,051.82 is: 2,831.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.42 : 4,664.48 = 2,051.82 : x
  2. Step 2: Convert to fraction form
    3,380.42/4,664.48 = 2,051.82/x
  3. Step 3: Cross multiply
    3,380.42x = 4,664.48 × 2,051.82
  4. Step 4: Simplify right side
    3,380.42x = 9,570,663.09
  5. Step 5: Solve for x
    x = 9,570,663.09/3,380.42
  6. Step 6: Final answer
    x = 2,831.21

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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.