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Finding the Fourth Proportional to 2,372.90, 3,556.91 and 1,200.72

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Solution

The fourth proportional to 2,372.90, 3,556.91 and 1,200.72 is: 1,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372.90 : 3,556.91 = 1,200.72 : x
  2. Step 2: Convert to fraction form
    2,372.90/3,556.91 = 1,200.72/x
  3. Step 3: Cross multiply
    2,372.90x = 3,556.91 × 1,200.72
  4. Step 4: Simplify right side
    2,372.90x = 4,270,869.32
  5. Step 5: Solve for x
    x = 4,270,869.32/2,372.90
  6. Step 6: Final answer
    x = 1,799.86

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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.