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Finding the Fourth Proportional to 1,388.28, 2,084.28 and 1,184.16

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Solution

The fourth proportional to 1,388.28, 2,084.28 and 1,184.16 is: 1,777.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.28 : 2,084.28 = 1,184.16 : x
  2. Step 2: Convert to fraction form
    1,388.28/2,084.28 = 1,184.16/x
  3. Step 3: Cross multiply
    1,388.28x = 2,084.28 × 1,184.16
  4. Step 4: Simplify right side
    1,388.28x = 2,468,121.00
  5. Step 5: Solve for x
    x = 2,468,121.00/1,388.28
  6. Step 6: Final answer
    x = 1,777.83

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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.