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Finding the Fourth Proportional to 1,220.16, 1,826.15 and 1,119.02

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Solution

The fourth proportional to 1,220.16, 1,826.15 and 1,119.02 is: 1,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.16 : 1,826.15 = 1,119.02 : x
  2. Step 2: Convert to fraction form
    1,220.16/1,826.15 = 1,119.02/x
  3. Step 3: Cross multiply
    1,220.16x = 1,826.15 × 1,119.02
  4. Step 4: Simplify right side
    1,220.16x = 2,043,483.65
  5. Step 5: Solve for x
    x = 2,043,483.65/1,220.16
  6. Step 6: Final answer
    x = 1,674.76

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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.