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Finding the Fourth Proportional to 1,348.68, 2,020.86 and 1,219.08

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Solution

The fourth proportional to 1,348.68, 2,020.86 and 1,219.08 is: 1,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.68 : 2,020.86 = 1,219.08 : x
  2. Step 2: Convert to fraction form
    1,348.68/2,020.86 = 1,219.08/x
  3. Step 3: Cross multiply
    1,348.68x = 2,020.86 × 1,219.08
  4. Step 4: Simplify right side
    1,348.68x = 2,463,590.01
  5. Step 5: Solve for x
    x = 2,463,590.01/1,348.68
  6. Step 6: Final answer
    x = 1,826.67

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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.