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Finding the Fourth Proportional to 2,654.69, 3,662.53 and 1,825.25

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Solution

The fourth proportional to 2,654.69, 3,662.53 and 1,825.25 is: 2,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.69 : 3,662.53 = 1,825.25 : x
  2. Step 2: Convert to fraction form
    2,654.69/3,662.53 = 1,825.25/x
  3. Step 3: Cross multiply
    2,654.69x = 3,662.53 × 1,825.25
  4. Step 4: Simplify right side
    2,654.69x = 6,685,023.76
  5. Step 5: Solve for x
    x = 6,685,023.76/2,654.69
  6. Step 6: Final answer
    x = 2,518.19

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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.