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Finding the Fourth Proportional to 1,321.77, 1,823.93 and 1,181.44

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Solution

The fourth proportional to 1,321.77, 1,823.93 and 1,181.44 is: 1,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.77 : 1,823.93 = 1,181.44 : x
  2. Step 2: Convert to fraction form
    1,321.77/1,823.93 = 1,181.44/x
  3. Step 3: Cross multiply
    1,321.77x = 1,823.93 × 1,181.44
  4. Step 4: Simplify right side
    1,321.77x = 2,154,863.86
  5. Step 5: Solve for x
    x = 2,154,863.86/1,321.77
  6. Step 6: Final answer
    x = 1,630.29

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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.