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Finding the Fourth Proportional to 4,194.01, 6,290.36 and 1,231.77

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Solution

The fourth proportional to 4,194.01, 6,290.36 and 1,231.77 is: 1,847.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.01 : 6,290.36 = 1,231.77 : x
  2. Step 2: Convert to fraction form
    4,194.01/6,290.36 = 1,231.77/x
  3. Step 3: Cross multiply
    4,194.01x = 6,290.36 × 1,231.77
  4. Step 4: Simplify right side
    4,194.01x = 7,748,298.79
  5. Step 5: Solve for x
    x = 7,748,298.79/4,194.01
  6. Step 6: Final answer
    x = 1,847.47

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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.