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Finding the Fourth Proportional to 2,969.25, 4,453.26 and 1,875.75

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Solution

The fourth proportional to 2,969.25, 4,453.26 and 1,875.75 is: 2,813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.25 : 4,453.26 = 1,875.75 : x
  2. Step 2: Convert to fraction form
    2,969.25/4,453.26 = 1,875.75/x
  3. Step 3: Cross multiply
    2,969.25x = 4,453.26 × 1,875.75
  4. Step 4: Simplify right side
    2,969.25x = 8,353,202.45
  5. Step 5: Solve for x
    x = 8,353,202.45/2,969.25
  6. Step 6: Final answer
    x = 2,813.24

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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.