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Finding the Fourth Proportional to 1,814.88, 2,504.50 and 1,184.22

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Solution

The fourth proportional to 1,814.88, 2,504.50 and 1,184.22 is: 1,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.88 : 2,504.50 = 1,184.22 : x
  2. Step 2: Convert to fraction form
    1,814.88/2,504.50 = 1,184.22/x
  3. Step 3: Cross multiply
    1,814.88x = 2,504.50 × 1,184.22
  4. Step 4: Simplify right side
    1,814.88x = 2,965,878.99
  5. Step 5: Solve for x
    x = 2,965,878.99/1,814.88
  6. Step 6: Final answer
    x = 1,634.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.