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Finding the Fourth Proportional to 2,851.58, 4,278.70 and 1,208.52

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Solution

The fourth proportional to 2,851.58, 4,278.70 and 1,208.52 is: 1,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.58 : 4,278.70 = 1,208.52 : x
  2. Step 2: Convert to fraction form
    2,851.58/4,278.70 = 1,208.52/x
  3. Step 3: Cross multiply
    2,851.58x = 4,278.70 × 1,208.52
  4. Step 4: Simplify right side
    2,851.58x = 5,170,894.52
  5. Step 5: Solve for x
    x = 5,170,894.52/2,851.58
  6. Step 6: Final answer
    x = 1,813.34

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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.