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Finding the Fourth Proportional to 2,370.14, 3,556.14 and 1,274.20

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Solution

The fourth proportional to 2,370.14, 3,556.14 and 1,274.20 is: 1,911.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.14 : 3,556.14 = 1,274.20 : x
  2. Step 2: Convert to fraction form
    2,370.14/3,556.14 = 1,274.20/x
  3. Step 3: Cross multiply
    2,370.14x = 3,556.14 × 1,274.20
  4. Step 4: Simplify right side
    2,370.14x = 4,531,233.59
  5. Step 5: Solve for x
    x = 4,531,233.59/2,370.14
  6. Step 6: Final answer
    x = 1,911.80

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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.