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Finding the Fourth Proportional to 2,555.10, 3,832.74 and 823.50

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Solution

The fourth proportional to 2,555.10, 3,832.74 and 823.50 is: 1,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.10 : 3,832.74 = 823.50 : x
  2. Step 2: Convert to fraction form
    2,555.10/3,832.74 = 823.50/x
  3. Step 3: Cross multiply
    2,555.10x = 3,832.74 × 823.50
  4. Step 4: Simplify right side
    2,555.10x = 3,156,261.39
  5. Step 5: Solve for x
    x = 3,156,261.39/2,555.10
  6. Step 6: Final answer
    x = 1,235.28

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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.