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Finding the Fourth Proportional to 2,300.51, 3,446.01 and 1,201.55

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Solution

The fourth proportional to 2,300.51, 3,446.01 and 1,201.55 is: 1,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.51 : 3,446.01 = 1,201.55 : x
  2. Step 2: Convert to fraction form
    2,300.51/3,446.01 = 1,201.55/x
  3. Step 3: Cross multiply
    2,300.51x = 3,446.01 × 1,201.55
  4. Step 4: Simplify right side
    2,300.51x = 4,140,536.09
  5. Step 5: Solve for x
    x = 4,140,536.09/2,300.51
  6. Step 6: Final answer
    x = 1,799.83

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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.