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Finding the Fourth Proportional to 1,216.80, 1,821.15 and 1,119.60

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Solution

The fourth proportional to 1,216.80, 1,821.15 and 1,119.60 is: 1,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.80 : 1,821.15 = 1,119.60 : x
  2. Step 2: Convert to fraction form
    1,216.80/1,821.15 = 1,119.60/x
  3. Step 3: Cross multiply
    1,216.80x = 1,821.15 × 1,119.60
  4. Step 4: Simplify right side
    1,216.80x = 2,038,959.54
  5. Step 5: Solve for x
    x = 2,038,959.54/1,216.80
  6. Step 6: Final answer
    x = 1,675.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.