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Finding the Fourth Proportional to 3,097.70, 4,643.54 and 1,016.27

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Solution

The fourth proportional to 3,097.70, 4,643.54 and 1,016.27 is: 1,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.70 : 4,643.54 = 1,016.27 : x
  2. Step 2: Convert to fraction form
    3,097.70/4,643.54 = 1,016.27/x
  3. Step 3: Cross multiply
    3,097.70x = 4,643.54 × 1,016.27
  4. Step 4: Simplify right side
    3,097.70x = 4,719,062.10
  5. Step 5: Solve for x
    x = 4,719,062.10/3,097.70
  6. Step 6: Final answer
    x = 1,523.41

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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.