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Finding the Fourth Proportional to 3,342.42, 4,612.59 and 1,945.14

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Solution

The fourth proportional to 3,342.42, 4,612.59 and 1,945.14 is: 2,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,342.42 : 4,612.59 = 1,945.14 : x
  2. Step 2: Convert to fraction form
    3,342.42/4,612.59 = 1,945.14/x
  3. Step 3: Cross multiply
    3,342.42x = 4,612.59 × 1,945.14
  4. Step 4: Simplify right side
    3,342.42x = 8,972,133.31
  5. Step 5: Solve for x
    x = 8,972,133.31/3,342.42
  6. Step 6: Final answer
    x = 2,684.32

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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.