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Finding the Fourth Proportional to 2,776.37, 3,823.98 and 2,403.38

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Solution

The fourth proportional to 2,776.37, 3,823.98 and 2,403.38 is: 3,310.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.37 : 3,823.98 = 2,403.38 : x
  2. Step 2: Convert to fraction form
    2,776.37/3,823.98 = 2,403.38/x
  3. Step 3: Cross multiply
    2,776.37x = 3,823.98 × 2,403.38
  4. Step 4: Simplify right side
    2,776.37x = 9,190,477.05
  5. Step 5: Solve for x
    x = 9,190,477.05/2,776.37
  6. Step 6: Final answer
    x = 3,310.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.