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Finding the Fourth Proportional to 2,505.96, 3,458.01 and 1,458.09

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Solution

The fourth proportional to 2,505.96, 3,458.01 and 1,458.09 is: 2,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.96 : 3,458.01 = 1,458.09 : x
  2. Step 2: Convert to fraction form
    2,505.96/3,458.01 = 1,458.09/x
  3. Step 3: Cross multiply
    2,505.96x = 3,458.01 × 1,458.09
  4. Step 4: Simplify right side
    2,505.96x = 5,042,089.80
  5. Step 5: Solve for x
    x = 5,042,089.80/2,505.96
  6. Step 6: Final answer
    x = 2,012.04

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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.