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Finding the Fourth Proportional to 1,184.49, 1,774.71 and 1,082.43

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Solution

The fourth proportional to 1,184.49, 1,774.71 and 1,082.43 is: 1,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.49 : 1,774.71 = 1,082.43 : x
  2. Step 2: Convert to fraction form
    1,184.49/1,774.71 = 1,082.43/x
  3. Step 3: Cross multiply
    1,184.49x = 1,774.71 × 1,082.43
  4. Step 4: Simplify right side
    1,184.49x = 1,920,999.35
  5. Step 5: Solve for x
    x = 1,920,999.35/1,184.49
  6. Step 6: Final answer
    x = 1,621.79

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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.