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Finding the Fourth Proportional to 2,147.71, 3,218.74 and 1,556.71

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Solution

The fourth proportional to 2,147.71, 3,218.74 and 1,556.71 is: 2,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.71 : 3,218.74 = 1,556.71 : x
  2. Step 2: Convert to fraction form
    2,147.71/3,218.74 = 1,556.71/x
  3. Step 3: Cross multiply
    2,147.71x = 3,218.74 × 1,556.71
  4. Step 4: Simplify right side
    2,147.71x = 5,010,644.75
  5. Step 5: Solve for x
    x = 5,010,644.75/2,147.71
  6. Step 6: Final answer
    x = 2,333.02

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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.