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Finding the Fourth Proportional to 2,560.56, 3,822.14 and 2,197.68

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Solution

The fourth proportional to 2,560.56, 3,822.14 and 2,197.68 is: 3,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.56 : 3,822.14 = 2,197.68 : x
  2. Step 2: Convert to fraction form
    2,560.56/3,822.14 = 2,197.68/x
  3. Step 3: Cross multiply
    2,560.56x = 3,822.14 × 2,197.68
  4. Step 4: Simplify right side
    2,560.56x = 8,399,840.64
  5. Step 5: Solve for x
    x = 8,399,840.64/2,560.56
  6. Step 6: Final answer
    x = 3,280.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.