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Finding the Fourth Proportional to 2,449.04, 3,673.80 and 805.64

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Solution

The fourth proportional to 2,449.04, 3,673.80 and 805.64 is: 1,208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.04 : 3,673.80 = 805.64 : x
  2. Step 2: Convert to fraction form
    2,449.04/3,673.80 = 805.64/x
  3. Step 3: Cross multiply
    2,449.04x = 3,673.80 × 805.64
  4. Step 4: Simplify right side
    2,449.04x = 2,959,760.23
  5. Step 5: Solve for x
    x = 2,959,760.23/2,449.04
  6. Step 6: Final answer
    x = 1,208.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.