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Finding the Fourth Proportional to 2,271.96, 3,404.52 and 1,539

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Solution

The fourth proportional to 2,271.96, 3,404.52 and 1,539 is: 2,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.96 : 3,404.52 = 1,539 : x
  2. Step 2: Convert to fraction form
    2,271.96/3,404.52 = 1,539/x
  3. Step 3: Cross multiply
    2,271.96x = 3,404.52 × 1,539
  4. Step 4: Simplify right side
    2,271.96x = 5,239,556.28
  5. Step 5: Solve for x
    x = 5,239,556.28/2,271.96
  6. Step 6: Final answer
    x = 2,306.18

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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.