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Finding the Fourth Proportional to 1,348.04, 2,021.04 and 828.14

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Solution

The fourth proportional to 1,348.04, 2,021.04 and 828.14 is: 1,241.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.04 : 2,021.04 = 828.14 : x
  2. Step 2: Convert to fraction form
    1,348.04/2,021.04 = 828.14/x
  3. Step 3: Cross multiply
    1,348.04x = 2,021.04 × 828.14
  4. Step 4: Simplify right side
    1,348.04x = 1,673,704.07
  5. Step 5: Solve for x
    x = 1,673,704.07/1,348.04
  6. Step 6: Final answer
    x = 1,241.58

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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.