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Finding the Fourth Proportional to 2,744.60, 3,789.36 and 1,698.48

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Solution

The fourth proportional to 2,744.60, 3,789.36 and 1,698.48 is: 2,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.60 : 3,789.36 = 1,698.48 : x
  2. Step 2: Convert to fraction form
    2,744.60/3,789.36 = 1,698.48/x
  3. Step 3: Cross multiply
    2,744.60x = 3,789.36 × 1,698.48
  4. Step 4: Simplify right side
    2,744.60x = 6,436,152.17
  5. Step 5: Solve for x
    x = 6,436,152.17/2,744.60
  6. Step 6: Final answer
    x = 2,345.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.