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Finding the Fourth Proportional to 2,477.53, 3,720.92 and 2,181.15

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Solution

The fourth proportional to 2,477.53, 3,720.92 and 2,181.15 is: 3,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.53 : 3,720.92 = 2,181.15 : x
  2. Step 2: Convert to fraction form
    2,477.53/3,720.92 = 2,181.15/x
  3. Step 3: Cross multiply
    2,477.53x = 3,720.92 × 2,181.15
  4. Step 4: Simplify right side
    2,477.53x = 8,115,866.05
  5. Step 5: Solve for x
    x = 8,115,866.05/2,477.53
  6. Step 6: Final answer
    x = 3,275.80

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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.