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Finding the Fourth Proportional to 2,142.47, 2,955.94 and 1,198.13

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Solution

The fourth proportional to 2,142.47, 2,955.94 and 1,198.13 is: 1,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.47 : 2,955.94 = 1,198.13 : x
  2. Step 2: Convert to fraction form
    2,142.47/2,955.94 = 1,198.13/x
  3. Step 3: Cross multiply
    2,142.47x = 2,955.94 × 1,198.13
  4. Step 4: Simplify right side
    2,142.47x = 3,541,600.39
  5. Step 5: Solve for x
    x = 3,541,600.39/2,142.47
  6. Step 6: Final answer
    x = 1,653.05

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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.