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Finding the Fourth Proportional to 2,449.80, 3,676.15 and 969.17

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Solution

The fourth proportional to 2,449.80, 3,676.15 and 969.17 is: 1,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.80 : 3,676.15 = 969.17 : x
  2. Step 2: Convert to fraction form
    2,449.80/3,676.15 = 969.17/x
  3. Step 3: Cross multiply
    2,449.80x = 3,676.15 × 969.17
  4. Step 4: Simplify right side
    2,449.80x = 3,562,802.45
  5. Step 5: Solve for x
    x = 3,562,802.45/2,449.80
  6. Step 6: Final answer
    x = 1,454.32

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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.