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Finding the Fourth Proportional to 2,505.82, 3,449.10 and 2,081.52

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Solution

The fourth proportional to 2,505.82, 3,449.10 and 2,081.52 is: 2,865.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505.82 : 3,449.10 = 2,081.52 : x
  2. Step 2: Convert to fraction form
    2,505.82/3,449.10 = 2,081.52/x
  3. Step 3: Cross multiply
    2,505.82x = 3,449.10 × 2,081.52
  4. Step 4: Simplify right side
    2,505.82x = 7,179,370.63
  5. Step 5: Solve for x
    x = 7,179,370.63/2,505.82
  6. Step 6: Final answer
    x = 2,865.08

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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.