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Finding the Fourth Proportional to 2,777.68, 4,167.87 and 1,315.09

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Solution

The fourth proportional to 2,777.68, 4,167.87 and 1,315.09 is: 1,973.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.68 : 4,167.87 = 1,315.09 : x
  2. Step 2: Convert to fraction form
    2,777.68/4,167.87 = 1,315.09/x
  3. Step 3: Cross multiply
    2,777.68x = 4,167.87 × 1,315.09
  4. Step 4: Simplify right side
    2,777.68x = 5,481,124.16
  5. Step 5: Solve for x
    x = 5,481,124.16/2,777.68
  6. Step 6: Final answer
    x = 1,973.27

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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.