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Finding the Fourth Proportional to 2,541.80, 3,811.44 and 810.20

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Solution

The fourth proportional to 2,541.80, 3,811.44 and 810.20 is: 1,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.80 : 3,811.44 = 810.20 : x
  2. Step 2: Convert to fraction form
    2,541.80/3,811.44 = 810.20/x
  3. Step 3: Cross multiply
    2,541.80x = 3,811.44 × 810.20
  4. Step 4: Simplify right side
    2,541.80x = 3,088,028.69
  5. Step 5: Solve for x
    x = 3,088,028.69/2,541.80
  6. Step 6: Final answer
    x = 1,214.90

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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.