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Finding the Fourth Proportional to 2,074.95, 3,115.35 and 1,662.80

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Solution

The fourth proportional to 2,074.95, 3,115.35 and 1,662.80 is: 2,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.95 : 3,115.35 = 1,662.80 : x
  2. Step 2: Convert to fraction form
    2,074.95/3,115.35 = 1,662.80/x
  3. Step 3: Cross multiply
    2,074.95x = 3,115.35 × 1,662.80
  4. Step 4: Simplify right side
    2,074.95x = 5,180,188.40
  5. Step 5: Solve for x
    x = 5,180,188.40/2,074.95
  6. Step 6: Final answer
    x = 2,496.54

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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.