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Finding the Fourth Proportional to 2,562.89, 3,536.79 and 1,383.96

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Solution

The fourth proportional to 2,562.89, 3,536.79 and 1,383.96 is: 1,909.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,562.89 : 3,536.79 = 1,383.96 : x
  2. Step 2: Convert to fraction form
    2,562.89/3,536.79 = 1,383.96/x
  3. Step 3: Cross multiply
    2,562.89x = 3,536.79 × 1,383.96
  4. Step 4: Simplify right side
    2,562.89x = 4,894,777.91
  5. Step 5: Solve for x
    x = 4,894,777.91/2,562.89
  6. Step 6: Final answer
    x = 1,909.87

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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.