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Finding the Fourth Proportional to 2,838.40, 4,257.60 and 2,109.40

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Solution

The fourth proportional to 2,838.40, 4,257.60 and 2,109.40 is: 3,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.40 : 4,257.60 = 2,109.40 : x
  2. Step 2: Convert to fraction form
    2,838.40/4,257.60 = 2,109.40/x
  3. Step 3: Cross multiply
    2,838.40x = 4,257.60 × 2,109.40
  4. Step 4: Simplify right side
    2,838.40x = 8,980,981.44
  5. Step 5: Solve for x
    x = 8,980,981.44/2,838.40
  6. Step 6: Final answer
    x = 3,164.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.