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Finding the Fourth Proportional to 1,181.69, 1,763.88 and 1,096.13

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Solution

The fourth proportional to 1,181.69, 1,763.88 and 1,096.13 is: 1,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.69 : 1,763.88 = 1,096.13 : x
  2. Step 2: Convert to fraction form
    1,181.69/1,763.88 = 1,096.13/x
  3. Step 3: Cross multiply
    1,181.69x = 1,763.88 × 1,096.13
  4. Step 4: Simplify right side
    1,181.69x = 1,933,442.08
  5. Step 5: Solve for x
    x = 1,933,442.08/1,181.69
  6. Step 6: Final answer
    x = 1,636.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.