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Finding the Fourth Proportional to 2,800, 4,200.48 and 852.40

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Solution

The fourth proportional to 2,800, 4,200.48 and 852.40 is: 1,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800 : 4,200.48 = 852.40 : x
  2. Step 2: Convert to fraction form
    2,800/4,200.48 = 852.40/x
  3. Step 3: Cross multiply
    2,800x = 4,200.48 × 852.40
  4. Step 4: Simplify right side
    2,800x = 3,580,489.15
  5. Step 5: Solve for x
    x = 3,580,489.15/2,800
  6. Step 6: Final answer
    x = 1,278.75

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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.