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Finding the Fourth Proportional to 2,969.69, 4,453.25 and 1,410.14

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Solution

The fourth proportional to 2,969.69, 4,453.25 and 1,410.14 is: 2,114.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.69 : 4,453.25 = 1,410.14 : x
  2. Step 2: Convert to fraction form
    2,969.69/4,453.25 = 1,410.14/x
  3. Step 3: Cross multiply
    2,969.69x = 4,453.25 × 1,410.14
  4. Step 4: Simplify right side
    2,969.69x = 6,279,698.90
  5. Step 5: Solve for x
    x = 6,279,698.90/2,969.69
  6. Step 6: Final answer
    x = 2,114.60

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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.