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Finding the Fourth Proportional to 2,969.58, 4,098.02 and 1,643.28

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Solution

The fourth proportional to 2,969.58, 4,098.02 and 1,643.28 is: 2,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.58 : 4,098.02 = 1,643.28 : x
  2. Step 2: Convert to fraction form
    2,969.58/4,098.02 = 1,643.28/x
  3. Step 3: Cross multiply
    2,969.58x = 4,098.02 × 1,643.28
  4. Step 4: Simplify right side
    2,969.58x = 6,734,194.31
  5. Step 5: Solve for x
    x = 6,734,194.31/2,969.58
  6. Step 6: Final answer
    x = 2,267.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.