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Finding the Fourth Proportional to 2,115.16, 3,173.30 and 728.60

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Solution

The fourth proportional to 2,115.16, 3,173.30 and 728.60 is: 1,093.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.16 : 3,173.30 = 728.60 : x
  2. Step 2: Convert to fraction form
    2,115.16/3,173.30 = 728.60/x
  3. Step 3: Cross multiply
    2,115.16x = 3,173.30 × 728.60
  4. Step 4: Simplify right side
    2,115.16x = 2,312,066.38
  5. Step 5: Solve for x
    x = 2,312,066.38/2,115.16
  6. Step 6: Final answer
    x = 1,093.09

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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.