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Finding the Fourth Proportional to 2,449.78, 3,673.95 and 805.96

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Solution

The fourth proportional to 2,449.78, 3,673.95 and 805.96 is: 1,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.78 : 3,673.95 = 805.96 : x
  2. Step 2: Convert to fraction form
    2,449.78/3,673.95 = 805.96/x
  3. Step 3: Cross multiply
    2,449.78x = 3,673.95 × 805.96
  4. Step 4: Simplify right side
    2,449.78x = 2,961,056.74
  5. Step 5: Solve for x
    x = 2,961,056.74/2,449.78
  6. Step 6: Final answer
    x = 1,208.70

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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.