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Finding the Fourth Proportional to 2,467.08, 3,699.54 and 823.86

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Solution

The fourth proportional to 2,467.08, 3,699.54 and 823.86 is: 1,235.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.08 : 3,699.54 = 823.86 : x
  2. Step 2: Convert to fraction form
    2,467.08/3,699.54 = 823.86/x
  3. Step 3: Cross multiply
    2,467.08x = 3,699.54 × 823.86
  4. Step 4: Simplify right side
    2,467.08x = 3,047,903.02
  5. Step 5: Solve for x
    x = 3,047,903.02/2,467.08
  6. Step 6: Final answer
    x = 1,235.43

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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.