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Finding the Fourth Proportional to 1,494.89, 2,238.86 and 1,442.98

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Solution

The fourth proportional to 1,494.89, 2,238.86 and 1,442.98 is: 2,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.89 : 2,238.86 = 1,442.98 : x
  2. Step 2: Convert to fraction form
    1,494.89/2,238.86 = 1,442.98/x
  3. Step 3: Cross multiply
    1,494.89x = 2,238.86 × 1,442.98
  4. Step 4: Simplify right side
    1,494.89x = 3,230,628.49
  5. Step 5: Solve for x
    x = 3,230,628.49/1,494.89
  6. Step 6: Final answer
    x = 2,161.12

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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.