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Finding the Fourth Proportional to 2,078.80, 2,811.50 and 2,078.80

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Solution

The fourth proportional to 2,078.80, 2,811.50 and 2,078.80 is: 2,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.80 : 2,811.50 = 2,078.80 : x
  2. Step 2: Convert to fraction form
    2,078.80/2,811.50 = 2,078.80/x
  3. Step 3: Cross multiply
    2,078.80x = 2,811.50 × 2,078.80
  4. Step 4: Simplify right side
    2,078.80x = 5,844,546.20
  5. Step 5: Solve for x
    x = 5,844,546.20/2,078.80
  6. Step 6: Final answer
    x = 2,811.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.