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Finding the Fourth Proportional to 2,226.64, 3,069.74 and 1,480.64

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Solution

The fourth proportional to 2,226.64, 3,069.74 and 1,480.64 is: 2,041.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,226.64 : 3,069.74 = 1,480.64 : x
  2. Step 2: Convert to fraction form
    2,226.64/3,069.74 = 1,480.64/x
  3. Step 3: Cross multiply
    2,226.64x = 3,069.74 × 1,480.64
  4. Step 4: Simplify right side
    2,226.64x = 4,545,179.83
  5. Step 5: Solve for x
    x = 4,545,179.83/2,226.64
  6. Step 6: Final answer
    x = 2,041.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.