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Finding the Fourth Proportional to 2,698.40, 3,724.83 and 2,109.12

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Solution

The fourth proportional to 2,698.40, 3,724.83 and 2,109.12 is: 2,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.40 : 3,724.83 = 2,109.12 : x
  2. Step 2: Convert to fraction form
    2,698.40/3,724.83 = 2,109.12/x
  3. Step 3: Cross multiply
    2,698.40x = 3,724.83 × 2,109.12
  4. Step 4: Simplify right side
    2,698.40x = 7,856,113.45
  5. Step 5: Solve for x
    x = 7,856,113.45/2,698.40
  6. Step 6: Final answer
    x = 2,911.40

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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.