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Finding the Fourth Proportional to 2,801.40, 4,202.10 and 2,112.90

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Solution

The fourth proportional to 2,801.40, 4,202.10 and 2,112.90 is: 3,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.40 : 4,202.10 = 2,112.90 : x
  2. Step 2: Convert to fraction form
    2,801.40/4,202.10 = 2,112.90/x
  3. Step 3: Cross multiply
    2,801.40x = 4,202.10 × 2,112.90
  4. Step 4: Simplify right side
    2,801.40x = 8,878,617.09
  5. Step 5: Solve for x
    x = 8,878,617.09/2,801.40
  6. Step 6: Final answer
    x = 3,169.35

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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.