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Finding the Fourth Proportional to 2,969.08, 4,458.17 and 2,415.98

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Solution

The fourth proportional to 2,969.08, 4,458.17 and 2,415.98 is: 3,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.08 : 4,458.17 = 2,415.98 : x
  2. Step 2: Convert to fraction form
    2,969.08/4,458.17 = 2,415.98/x
  3. Step 3: Cross multiply
    2,969.08x = 4,458.17 × 2,415.98
  4. Step 4: Simplify right side
    2,969.08x = 10,770,866.74
  5. Step 5: Solve for x
    x = 10,770,866.74/2,969.08
  6. Step 6: Final answer
    x = 3,627.68

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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.