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Finding the Fourth Proportional to 3,181.68, 4,390.94 and 1,784.52

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Solution

The fourth proportional to 3,181.68, 4,390.94 and 1,784.52 is: 2,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,181.68 : 4,390.94 = 1,784.52 : x
  2. Step 2: Convert to fraction form
    3,181.68/4,390.94 = 1,784.52/x
  3. Step 3: Cross multiply
    3,181.68x = 4,390.94 × 1,784.52
  4. Step 4: Simplify right side
    3,181.68x = 7,835,720.25
  5. Step 5: Solve for x
    x = 7,835,720.25/3,181.68
  6. Step 6: Final answer
    x = 2,462.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.