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Finding the Fourth Proportional to 1,493.52, 2,054.21 and 1,198.14

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Solution

The fourth proportional to 1,493.52, 2,054.21 and 1,198.14 is: 1,647.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.52 : 2,054.21 = 1,198.14 : x
  2. Step 2: Convert to fraction form
    1,493.52/2,054.21 = 1,198.14/x
  3. Step 3: Cross multiply
    1,493.52x = 2,054.21 × 1,198.14
  4. Step 4: Simplify right side
    1,493.52x = 2,461,225.18
  5. Step 5: Solve for x
    x = 2,461,225.18/1,493.52
  6. Step 6: Final answer
    x = 1,647.94

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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.