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Finding the Fourth Proportional to 2,562.68, 3,536.83 and 1,443.83

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Solution

The fourth proportional to 2,562.68, 3,536.83 and 1,443.83 is: 1,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.68 : 3,536.83 = 1,443.83 : x
  2. Step 2: Convert to fraction form
    2,562.68/3,536.83 = 1,443.83/x
  3. Step 3: Cross multiply
    2,562.68x = 3,536.83 × 1,443.83
  4. Step 4: Simplify right side
    2,562.68x = 5,106,573.23
  5. Step 5: Solve for x
    x = 5,106,573.23/2,562.68
  6. Step 6: Final answer
    x = 1,992.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.