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Finding the Fourth Proportional to 3,184.57, 4,774.38 and 1,517.84

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Solution

The fourth proportional to 3,184.57, 4,774.38 and 1,517.84 is: 2,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.57 : 4,774.38 = 1,517.84 : x
  2. Step 2: Convert to fraction form
    3,184.57/4,774.38 = 1,517.84/x
  3. Step 3: Cross multiply
    3,184.57x = 4,774.38 × 1,517.84
  4. Step 4: Simplify right side
    3,184.57x = 7,246,744.94
  5. Step 5: Solve for x
    x = 7,246,744.94/3,184.57
  6. Step 6: Final answer
    x = 2,275.58

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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.