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Finding the Fourth Proportional to 2,562.98, 3,536.63 and 1,443.89

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Solution

The fourth proportional to 2,562.98, 3,536.63 and 1,443.89 is: 1,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.98 : 3,536.63 = 1,443.89 : x
  2. Step 2: Convert to fraction form
    2,562.98/3,536.63 = 1,443.89/x
  3. Step 3: Cross multiply
    2,562.98x = 3,536.63 × 1,443.89
  4. Step 4: Simplify right side
    2,562.98x = 5,106,504.69
  5. Step 5: Solve for x
    x = 5,106,504.69/2,562.98
  6. Step 6: Final answer
    x = 1,992.41

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Why These Related Problems?

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