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Finding the Fourth Proportional to 2,505.63, 3,457.14 and 1,608.96

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Solution

The fourth proportional to 2,505.63, 3,457.14 and 1,608.96 is: 2,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.63 : 3,457.14 = 1,608.96 : x
  2. Step 2: Convert to fraction form
    2,505.63/3,457.14 = 1,608.96/x
  3. Step 3: Cross multiply
    2,505.63x = 3,457.14 × 1,608.96
  4. Step 4: Simplify right side
    2,505.63x = 5,562,399.97
  5. Step 5: Solve for x
    x = 5,562,399.97/2,505.63
  6. Step 6: Final answer
    x = 2,219.96

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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.