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Finding the Fourth Proportional to 2,777.68, 4,164.90 and 1,621

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Solution

The fourth proportional to 2,777.68, 4,164.90 and 1,621 is: 2,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.68 : 4,164.90 = 1,621 : x
  2. Step 2: Convert to fraction form
    2,777.68/4,164.90 = 1,621/x
  3. Step 3: Cross multiply
    2,777.68x = 4,164.90 × 1,621
  4. Step 4: Simplify right side
    2,777.68x = 6,751,302.90
  5. Step 5: Solve for x
    x = 6,751,302.90/2,777.68
  6. Step 6: Final answer
    x = 2,430.55

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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.