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Finding the Fourth Proportional to 3,171.48, 4,759.74 and 1,784.52

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Solution

The fourth proportional to 3,171.48, 4,759.74 and 1,784.52 is: 2,678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.48 : 4,759.74 = 1,784.52 : x
  2. Step 2: Convert to fraction form
    3,171.48/4,759.74 = 1,784.52/x
  3. Step 3: Cross multiply
    3,171.48x = 4,759.74 × 1,784.52
  4. Step 4: Simplify right side
    3,171.48x = 8,493,851.22
  5. Step 5: Solve for x
    x = 8,493,851.22/3,171.48
  6. Step 6: Final answer
    x = 2,678.20

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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.