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Finding the Fourth Proportional to 3,206.70, 4,808.70 and 1,014.23

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Solution

The fourth proportional to 3,206.70, 4,808.70 and 1,014.23 is: 1,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.70 : 4,808.70 = 1,014.23 : x
  2. Step 2: Convert to fraction form
    3,206.70/4,808.70 = 1,014.23/x
  3. Step 3: Cross multiply
    3,206.70x = 4,808.70 × 1,014.23
  4. Step 4: Simplify right side
    3,206.70x = 4,877,127.80
  5. Step 5: Solve for x
    x = 4,877,127.80/3,206.70
  6. Step 6: Final answer
    x = 1,520.92

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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.