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Finding the Fourth Proportional to 2,942.51, 4,414.37 and 862.58

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Solution

The fourth proportional to 2,942.51, 4,414.37 and 862.58 is: 1,294.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.51 : 4,414.37 = 862.58 : x
  2. Step 2: Convert to fraction form
    2,942.51/4,414.37 = 862.58/x
  3. Step 3: Cross multiply
    2,942.51x = 4,414.37 × 862.58
  4. Step 4: Simplify right side
    2,942.51x = 3,807,761.28
  5. Step 5: Solve for x
    x = 3,807,761.28/2,942.51
  6. Step 6: Final answer
    x = 1,294.05

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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.