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Finding the Fourth Proportional to 2,055.76, 3,083.12 and 822.64

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Solution

The fourth proportional to 2,055.76, 3,083.12 and 822.64 is: 1,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.76 : 3,083.12 = 822.64 : x
  2. Step 2: Convert to fraction form
    2,055.76/3,083.12 = 822.64/x
  3. Step 3: Cross multiply
    2,055.76x = 3,083.12 × 822.64
  4. Step 4: Simplify right side
    2,055.76x = 2,536,297.84
  5. Step 5: Solve for x
    x = 2,536,297.84/2,055.76
  6. Step 6: Final answer
    x = 1,233.75

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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.