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Finding the Fourth Proportional to 2,747.36, 4,120.26 and 898.58

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Solution

The fourth proportional to 2,747.36, 4,120.26 and 898.58 is: 1,347.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,747.36 : 4,120.26 = 898.58 : x
  2. Step 2: Convert to fraction form
    2,747.36/4,120.26 = 898.58/x
  3. Step 3: Cross multiply
    2,747.36x = 4,120.26 × 898.58
  4. Step 4: Simplify right side
    2,747.36x = 3,702,362.63
  5. Step 5: Solve for x
    x = 3,702,362.63/2,747.36
  6. Step 6: Final answer
    x = 1,347.61

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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.