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Finding the Fourth Proportional to 2,969.76, 4,098.09 and 1,643.40

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Solution

The fourth proportional to 2,969.76, 4,098.09 and 1,643.40 is: 2,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.76 : 4,098.09 = 1,643.40 : x
  2. Step 2: Convert to fraction form
    2,969.76/4,098.09 = 1,643.40/x
  3. Step 3: Cross multiply
    2,969.76x = 4,098.09 × 1,643.40
  4. Step 4: Simplify right side
    2,969.76x = 6,734,780.62
  5. Step 5: Solve for x
    x = 6,734,780.62/2,969.76
  6. Step 6: Final answer
    x = 2,267.79

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