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Finding the Fourth Proportional to 2,969.11, 4,453.56 and 1,409.86

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Solution

The fourth proportional to 2,969.11, 4,453.56 and 1,409.86 is: 2,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.11 : 4,453.56 = 1,409.86 : x
  2. Step 2: Convert to fraction form
    2,969.11/4,453.56 = 1,409.86/x
  3. Step 3: Cross multiply
    2,969.11x = 4,453.56 × 1,409.86
  4. Step 4: Simplify right side
    2,969.11x = 6,278,896.10
  5. Step 5: Solve for x
    x = 6,278,896.10/2,969.11
  6. Step 6: Final answer
    x = 2,114.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.