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Finding the Fourth Proportional to 2,458.08, 3,699.48 and 1,845

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Solution

The fourth proportional to 2,458.08, 3,699.48 and 1,845 is: 2,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.08 : 3,699.48 = 1,845 : x
  2. Step 2: Convert to fraction form
    2,458.08/3,699.48 = 1,845/x
  3. Step 3: Cross multiply
    2,458.08x = 3,699.48 × 1,845
  4. Step 4: Simplify right side
    2,458.08x = 6,825,540.60
  5. Step 5: Solve for x
    x = 6,825,540.60/2,458.08
  6. Step 6: Final answer
    x = 2,776.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.