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Finding the Fourth Proportional to 3,266.83, 4,900.51 and 926.80

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Solution

The fourth proportional to 3,266.83, 4,900.51 and 926.80 is: 1,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.83 : 4,900.51 = 926.80 : x
  2. Step 2: Convert to fraction form
    3,266.83/4,900.51 = 926.80/x
  3. Step 3: Cross multiply
    3,266.83x = 4,900.51 × 926.80
  4. Step 4: Simplify right side
    3,266.83x = 4,541,792.67
  5. Step 5: Solve for x
    x = 4,541,792.67/3,266.83
  6. Step 6: Final answer
    x = 1,390.28

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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.