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Finding the Fourth Proportional to 2,896.01, 4,346.12 and 1,969.37

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Solution

The fourth proportional to 2,896.01, 4,346.12 and 1,969.37 is: 2,955.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.01 : 4,346.12 = 1,969.37 : x
  2. Step 2: Convert to fraction form
    2,896.01/4,346.12 = 1,969.37/x
  3. Step 3: Cross multiply
    2,896.01x = 4,346.12 × 1,969.37
  4. Step 4: Simplify right side
    2,896.01x = 8,559,108.50
  5. Step 5: Solve for x
    x = 8,559,108.50/2,896.01
  6. Step 6: Final answer
    x = 2,955.48

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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.