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Finding the Fourth Proportional to 2,654.36, 3,981.74 and 805.64

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Solution

The fourth proportional to 2,654.36, 3,981.74 and 805.64 is: 1,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.36 : 3,981.74 = 805.64 : x
  2. Step 2: Convert to fraction form
    2,654.36/3,981.74 = 805.64/x
  3. Step 3: Cross multiply
    2,654.36x = 3,981.74 × 805.64
  4. Step 4: Simplify right side
    2,654.36x = 3,207,825.08
  5. Step 5: Solve for x
    x = 3,207,825.08/2,654.36
  6. Step 6: Final answer
    x = 1,208.51

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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.