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Finding the Fourth Proportional to 2,354.02, 3,531.20 and 794.02

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Solution

The fourth proportional to 2,354.02, 3,531.20 and 794.02 is: 1,191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.02 : 3,531.20 = 794.02 : x
  2. Step 2: Convert to fraction form
    2,354.02/3,531.20 = 794.02/x
  3. Step 3: Cross multiply
    2,354.02x = 3,531.20 × 794.02
  4. Step 4: Simplify right side
    2,354.02x = 2,803,843.42
  5. Step 5: Solve for x
    x = 2,803,843.42/2,354.02
  6. Step 6: Final answer
    x = 1,191.09

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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.