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Finding the Fourth Proportional to 3,205.96, 4,808.87 and 1,014.68

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Solution

The fourth proportional to 3,205.96, 4,808.87 and 1,014.68 is: 1,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.96 : 4,808.87 = 1,014.68 : x
  2. Step 2: Convert to fraction form
    3,205.96/4,808.87 = 1,014.68/x
  3. Step 3: Cross multiply
    3,205.96x = 4,808.87 × 1,014.68
  4. Step 4: Simplify right side
    3,205.96x = 4,879,474.97
  5. Step 5: Solve for x
    x = 4,879,474.97/3,205.96
  6. Step 6: Final answer
    x = 1,522.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.