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Finding the Fourth Proportional to 2,850.80, 4,271.40 and 1,876.40

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Solution

The fourth proportional to 2,850.80, 4,271.40 and 1,876.40 is: 2,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,850.80 : 4,271.40 = 1,876.40 : x
  2. Step 2: Convert to fraction form
    2,850.80/4,271.40 = 1,876.40/x
  3. Step 3: Cross multiply
    2,850.80x = 4,271.40 × 1,876.40
  4. Step 4: Simplify right side
    2,850.80x = 8,014,854.96
  5. Step 5: Solve for x
    x = 8,014,854.96/2,850.80
  6. Step 6: Final answer
    x = 2,811.44

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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.