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Finding the Fourth Proportional to 2,558.23, 3,836.96 and 709.15

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Solution

The fourth proportional to 2,558.23, 3,836.96 and 709.15 is: 1,063.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.23 : 3,836.96 = 709.15 : x
  2. Step 2: Convert to fraction form
    2,558.23/3,836.96 = 709.15/x
  3. Step 3: Cross multiply
    2,558.23x = 3,836.96 × 709.15
  4. Step 4: Simplify right side
    2,558.23x = 2,720,980.18
  5. Step 5: Solve for x
    x = 2,720,980.18/2,558.23
  6. Step 6: Final answer
    x = 1,063.62

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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.