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Finding the Fourth Proportional to 3,062.94, 4,594.42 and 754.44

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Solution

The fourth proportional to 3,062.94, 4,594.42 and 754.44 is: 1,131.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.94 : 4,594.42 = 754.44 : x
  2. Step 2: Convert to fraction form
    3,062.94/4,594.42 = 754.44/x
  3. Step 3: Cross multiply
    3,062.94x = 4,594.42 × 754.44
  4. Step 4: Simplify right side
    3,062.94x = 3,466,214.22
  5. Step 5: Solve for x
    x = 3,466,214.22/3,062.94
  6. Step 6: Final answer
    x = 1,131.66

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