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Finding the Fourth Proportional to 3,416.62, 5,122.98 and 1,194.40

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Solution

The fourth proportional to 3,416.62, 5,122.98 and 1,194.40 is: 1,790.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.62 : 5,122.98 = 1,194.40 : x
  2. Step 2: Convert to fraction form
    3,416.62/5,122.98 = 1,194.40/x
  3. Step 3: Cross multiply
    3,416.62x = 5,122.98 × 1,194.40
  4. Step 4: Simplify right side
    3,416.62x = 6,118,887.31
  5. Step 5: Solve for x
    x = 6,118,887.31/3,416.62
  6. Step 6: Final answer
    x = 1,790.92

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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.