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Finding the Fourth Proportional to 3,184.99, 4,776.30 and 1,104.46

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Solution

The fourth proportional to 3,184.99, 4,776.30 and 1,104.46 is: 1,656.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.99 : 4,776.30 = 1,104.46 : x
  2. Step 2: Convert to fraction form
    3,184.99/4,776.30 = 1,104.46/x
  3. Step 3: Cross multiply
    3,184.99x = 4,776.30 × 1,104.46
  4. Step 4: Simplify right side
    3,184.99x = 5,275,232.30
  5. Step 5: Solve for x
    x = 5,275,232.30/3,184.99
  6. Step 6: Final answer
    x = 1,656.28

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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.