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Finding the Fourth Proportional to 2,277.32, 3,416.84 and 1,181

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Solution

The fourth proportional to 2,277.32, 3,416.84 and 1,181 is: 1,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.32 : 3,416.84 = 1,181 : x
  2. Step 2: Convert to fraction form
    2,277.32/3,416.84 = 1,181/x
  3. Step 3: Cross multiply
    2,277.32x = 3,416.84 × 1,181
  4. Step 4: Simplify right side
    2,277.32x = 4,035,288.04
  5. Step 5: Solve for x
    x = 4,035,288.04/2,277.32
  6. Step 6: Final answer
    x = 1,771.95

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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.