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Finding the Fourth Proportional to 2,777.44, 4,145.80 and 2,449.36

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Solution

The fourth proportional to 2,777.44, 4,145.80 and 2,449.36 is: 3,656.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.44 : 4,145.80 = 2,449.36 : x
  2. Step 2: Convert to fraction form
    2,777.44/4,145.80 = 2,449.36/x
  3. Step 3: Cross multiply
    2,777.44x = 4,145.80 × 2,449.36
  4. Step 4: Simplify right side
    2,777.44x = 10,154,556.69
  5. Step 5: Solve for x
    x = 10,154,556.69/2,777.44
  6. Step 6: Final answer
    x = 3,656.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.