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Finding the Fourth Proportional to 2,453.94, 3,680.55 and 722.34

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Solution

The fourth proportional to 2,453.94, 3,680.55 and 722.34 is: 1,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.94 : 3,680.55 = 722.34 : x
  2. Step 2: Convert to fraction form
    2,453.94/3,680.55 = 722.34/x
  3. Step 3: Cross multiply
    2,453.94x = 3,680.55 × 722.34
  4. Step 4: Simplify right side
    2,453.94x = 2,658,608.49
  5. Step 5: Solve for x
    x = 2,658,608.49/2,453.94
  6. Step 6: Final answer
    x = 1,083.40

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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.