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Finding the Fourth Proportional to 4,271.08, 6,406.94 and 1,193

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Solution

The fourth proportional to 4,271.08, 6,406.94 and 1,193 is: 1,789.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.08 : 6,406.94 = 1,193 : x
  2. Step 2: Convert to fraction form
    4,271.08/6,406.94 = 1,193/x
  3. Step 3: Cross multiply
    4,271.08x = 6,406.94 × 1,193
  4. Step 4: Simplify right side
    4,271.08x = 7,643,479.42
  5. Step 5: Solve for x
    x = 7,643,479.42/4,271.08
  6. Step 6: Final answer
    x = 1,789.59

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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.