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Finding the Fourth Proportional to 2,083.60, 3,125.40 and 2,069.20

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Solution

The fourth proportional to 2,083.60, 3,125.40 and 2,069.20 is: 3,103.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.60 : 3,125.40 = 2,069.20 : x
  2. Step 2: Convert to fraction form
    2,083.60/3,125.40 = 2,069.20/x
  3. Step 3: Cross multiply
    2,083.60x = 3,125.40 × 2,069.20
  4. Step 4: Simplify right side
    2,083.60x = 6,467,077.68
  5. Step 5: Solve for x
    x = 6,467,077.68/2,083.60
  6. Step 6: Final answer
    x = 3,103.80

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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.