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Finding the Fourth Proportional to 2,460.51, 3,691.31 and 729.27

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Solution

The fourth proportional to 2,460.51, 3,691.31 and 729.27 is: 1,094.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.51 : 3,691.31 = 729.27 : x
  2. Step 2: Convert to fraction form
    2,460.51/3,691.31 = 729.27/x
  3. Step 3: Cross multiply
    2,460.51x = 3,691.31 × 729.27
  4. Step 4: Simplify right side
    2,460.51x = 2,691,961.64
  5. Step 5: Solve for x
    x = 2,691,961.64/2,460.51
  6. Step 6: Final answer
    x = 1,094.07

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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.