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Finding the Fourth Proportional to 3,142.93, 4,715.00 and 1,194.98

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Solution

The fourth proportional to 3,142.93, 4,715.00 and 1,194.98 is: 1,792.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.93 : 4,715.00 = 1,194.98 : x
  2. Step 2: Convert to fraction form
    3,142.93/4,715.00 = 1,194.98/x
  3. Step 3: Cross multiply
    3,142.93x = 4,715.00 × 1,194.98
  4. Step 4: Simplify right side
    3,142.93x = 5,634,346.97
  5. Step 5: Solve for x
    x = 5,634,346.97/3,142.93
  6. Step 6: Final answer
    x = 1,792.70

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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.