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Finding the Fourth Proportional to 2,115.36, 3,173.28 and 728.84

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Solution

The fourth proportional to 2,115.36, 3,173.28 and 728.84 is: 1,093.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.36 : 3,173.28 = 728.84 : x
  2. Step 2: Convert to fraction form
    2,115.36/3,173.28 = 728.84/x
  3. Step 3: Cross multiply
    2,115.36x = 3,173.28 × 728.84
  4. Step 4: Simplify right side
    2,115.36x = 2,312,813.40
  5. Step 5: Solve for x
    x = 2,312,813.40/2,115.36
  6. Step 6: Final answer
    x = 1,093.34

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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.