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Finding the Fourth Proportional to 2,115.37, 3,173.80 and 945.26

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Solution

The fourth proportional to 2,115.37, 3,173.80 and 945.26 is: 1,418.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.37 : 3,173.80 = 945.26 : x
  2. Step 2: Convert to fraction form
    2,115.37/3,173.80 = 945.26/x
  3. Step 3: Cross multiply
    2,115.37x = 3,173.80 × 945.26
  4. Step 4: Simplify right side
    2,115.37x = 3,000,066.19
  5. Step 5: Solve for x
    x = 3,000,066.19/2,115.37
  6. Step 6: Final answer
    x = 1,418.23

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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.