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Finding the Fourth Proportional to 2,762.56, 4,143.84 and 816.13

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Solution

The fourth proportional to 2,762.56, 4,143.84 and 816.13 is: 1,224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.56 : 4,143.84 = 816.13 : x
  2. Step 2: Convert to fraction form
    2,762.56/4,143.84 = 816.13/x
  3. Step 3: Cross multiply
    2,762.56x = 4,143.84 × 816.13
  4. Step 4: Simplify right side
    2,762.56x = 3,381,912.14
  5. Step 5: Solve for x
    x = 3,381,912.14/2,762.56
  6. Step 6: Final answer
    x = 1,224.20

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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.