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Finding the Fourth Proportional to 2,560.57, 3,840.85 and 805.56

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Solution

The fourth proportional to 2,560.57, 3,840.85 and 805.56 is: 1,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.57 : 3,840.85 = 805.56 : x
  2. Step 2: Convert to fraction form
    2,560.57/3,840.85 = 805.56/x
  3. Step 3: Cross multiply
    2,560.57x = 3,840.85 × 805.56
  4. Step 4: Simplify right side
    2,560.57x = 3,094,035.13
  5. Step 5: Solve for x
    x = 3,094,035.13/2,560.57
  6. Step 6: Final answer
    x = 1,208.34

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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.