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Finding the Fourth Proportional to 3,266.56, 4,894.98 and 1,806.13

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Solution

The fourth proportional to 3,266.56, 4,894.98 and 1,806.13 is: 2,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.56 : 4,894.98 = 1,806.13 : x
  2. Step 2: Convert to fraction form
    3,266.56/4,894.98 = 1,806.13/x
  3. Step 3: Cross multiply
    3,266.56x = 4,894.98 × 1,806.13
  4. Step 4: Simplify right side
    3,266.56x = 8,840,970.23
  5. Step 5: Solve for x
    x = 8,840,970.23/3,266.56
  6. Step 6: Final answer
    x = 2,706.51

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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.