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Finding the Fourth Proportional to 2,969.60, 4,098 and 1,643.30

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Solution

The fourth proportional to 2,969.60, 4,098 and 1,643.30 is: 2,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.60 : 4,098 = 1,643.30 : x
  2. Step 2: Convert to fraction form
    2,969.60/4,098 = 1,643.30/x
  3. Step 3: Cross multiply
    2,969.60x = 4,098 × 1,643.30
  4. Step 4: Simplify right side
    2,969.60x = 6,734,243.40
  5. Step 5: Solve for x
    x = 6,734,243.40/2,969.60
  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.