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Finding the Fourth Proportional to 3,206.42, 4,808.88 and 1,014.74

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Solution

The fourth proportional to 3,206.42, 4,808.88 and 1,014.74 is: 1,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.42 : 4,808.88 = 1,014.74 : x
  2. Step 2: Convert to fraction form
    3,206.42/4,808.88 = 1,014.74/x
  3. Step 3: Cross multiply
    3,206.42x = 4,808.88 × 1,014.74
  4. Step 4: Simplify right side
    3,206.42x = 4,879,738.85
  5. Step 5: Solve for x
    x = 4,879,738.85/3,206.42
  6. Step 6: Final answer
    x = 1,521.87

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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.