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Finding the Fourth Proportional to 2,066.40, 3,103.20 and 1,094.40

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Solution

The fourth proportional to 2,066.40, 3,103.20 and 1,094.40 is: 1,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.40 : 3,103.20 = 1,094.40 : x
  2. Step 2: Convert to fraction form
    2,066.40/3,103.20 = 1,094.40/x
  3. Step 3: Cross multiply
    2,066.40x = 3,103.20 × 1,094.40
  4. Step 4: Simplify right side
    2,066.40x = 3,396,142.08
  5. Step 5: Solve for x
    x = 3,396,142.08/2,066.40
  6. Step 6: Final answer
    x = 1,643.51

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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.