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Finding the Fourth Proportional to 3,184.66, 4,776.80 and 1,952.26

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Solution

The fourth proportional to 3,184.66, 4,776.80 and 1,952.26 is: 2,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.66 : 4,776.80 = 1,952.26 : x
  2. Step 2: Convert to fraction form
    3,184.66/4,776.80 = 1,952.26/x
  3. Step 3: Cross multiply
    3,184.66x = 4,776.80 × 1,952.26
  4. Step 4: Simplify right side
    3,184.66x = 9,325,555.57
  5. Step 5: Solve for x
    x = 9,325,555.57/3,184.66
  6. Step 6: Final answer
    x = 2,928.27

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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.