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Finding the Fourth Proportional to 2,477.68, 3,720.30 and 2,114.80

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Solution

The fourth proportional to 2,477.68, 3,720.30 and 2,114.80 is: 3,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.68 : 3,720.30 = 2,114.80 : x
  2. Step 2: Convert to fraction form
    2,477.68/3,720.30 = 2,114.80/x
  3. Step 3: Cross multiply
    2,477.68x = 3,720.30 × 2,114.80
  4. Step 4: Simplify right side
    2,477.68x = 7,867,690.44
  5. Step 5: Solve for x
    x = 7,867,690.44/2,477.68
  6. Step 6: Final answer
    x = 3,175.43

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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.