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Finding the Fourth Proportional to 3,097.35, 4,645.82 and 1,246.23

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Solution

The fourth proportional to 3,097.35, 4,645.82 and 1,246.23 is: 1,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.35 : 4,645.82 = 1,246.23 : x
  2. Step 2: Convert to fraction form
    3,097.35/4,645.82 = 1,246.23/x
  3. Step 3: Cross multiply
    3,097.35x = 4,645.82 × 1,246.23
  4. Step 4: Simplify right side
    3,097.35x = 5,789,763.37
  5. Step 5: Solve for x
    x = 5,789,763.37/3,097.35
  6. Step 6: Final answer
    x = 1,869.26

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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.