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Finding the Fourth Proportional to 1,814.33, 2,503.03 and 1,184.64

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Solution

The fourth proportional to 1,814.33, 2,503.03 and 1,184.64 is: 1,634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.33 : 2,503.03 = 1,184.64 : x
  2. Step 2: Convert to fraction form
    1,814.33/2,503.03 = 1,184.64/x
  3. Step 3: Cross multiply
    1,814.33x = 2,503.03 × 1,184.64
  4. Step 4: Simplify right side
    1,814.33x = 2,965,189.46
  5. Step 5: Solve for x
    x = 2,965,189.46/1,814.33
  6. Step 6: Final answer
    x = 1,634.31

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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.