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Finding the Fourth Proportional to 2,830.95, 4,245.21 and 2,078.87

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Solution

The fourth proportional to 2,830.95, 4,245.21 and 2,078.87 is: 3,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.95 : 4,245.21 = 2,078.87 : x
  2. Step 2: Convert to fraction form
    2,830.95/4,245.21 = 2,078.87/x
  3. Step 3: Cross multiply
    2,830.95x = 4,245.21 × 2,078.87
  4. Step 4: Simplify right side
    2,830.95x = 8,825,218.49
  5. Step 5: Solve for x
    x = 8,825,218.49/2,830.95
  6. Step 6: Final answer
    x = 3,117.41

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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.