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Finding the Fourth Proportional to 3,094.09, 4,642.35 and 1,361.50

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Solution

The fourth proportional to 3,094.09, 4,642.35 and 1,361.50 is: 2,042.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,094.09 : 4,642.35 = 1,361.50 : x
  2. Step 2: Convert to fraction form
    3,094.09/4,642.35 = 1,361.50/x
  3. Step 3: Cross multiply
    3,094.09x = 4,642.35 × 1,361.50
  4. Step 4: Simplify right side
    3,094.09x = 6,320,559.53
  5. Step 5: Solve for x
    x = 6,320,559.53/3,094.09
  6. Step 6: Final answer
    x = 2,042.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.