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Finding the Fourth Proportional to 3,143.49, 4,710.98 and 1,194.63

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Solution

The fourth proportional to 3,143.49, 4,710.98 and 1,194.63 is: 1,790.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.49 : 4,710.98 = 1,194.63 : x
  2. Step 2: Convert to fraction form
    3,143.49/4,710.98 = 1,194.63/x
  3. Step 3: Cross multiply
    3,143.49x = 4,710.98 × 1,194.63
  4. Step 4: Simplify right side
    3,143.49x = 5,627,878.04
  5. Step 5: Solve for x
    x = 5,627,878.04/3,143.49
  6. Step 6: Final answer
    x = 1,790.33

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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.