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Finding the Fourth Proportional to 2,450.16, 3,675.48 and 910.80

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Solution

The fourth proportional to 2,450.16, 3,675.48 and 910.80 is: 1,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.16 : 3,675.48 = 910.80 : x
  2. Step 2: Convert to fraction form
    2,450.16/3,675.48 = 910.80/x
  3. Step 3: Cross multiply
    2,450.16x = 3,675.48 × 910.80
  4. Step 4: Simplify right side
    2,450.16x = 3,347,627.18
  5. Step 5: Solve for x
    x = 3,347,627.18/2,450.16
  6. Step 6: Final answer
    x = 1,366.29

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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.