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Finding the Fourth Proportional to 3,167.53, 4,751.49 and 1,219.74

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Solution

The fourth proportional to 3,167.53, 4,751.49 and 1,219.74 is: 1,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.53 : 4,751.49 = 1,219.74 : x
  2. Step 2: Convert to fraction form
    3,167.53/4,751.49 = 1,219.74/x
  3. Step 3: Cross multiply
    3,167.53x = 4,751.49 × 1,219.74
  4. Step 4: Simplify right side
    3,167.53x = 5,795,582.41
  5. Step 5: Solve for x
    x = 5,795,582.41/3,167.53
  6. Step 6: Final answer
    x = 1,829.69

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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.