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Finding the Fourth Proportional to 1,627.82, 2,245.69 and 1,097.05

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Solution

The fourth proportional to 1,627.82, 2,245.69 and 1,097.05 is: 1,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.82 : 2,245.69 = 1,097.05 : x
  2. Step 2: Convert to fraction form
    1,627.82/2,245.69 = 1,097.05/x
  3. Step 3: Cross multiply
    1,627.82x = 2,245.69 × 1,097.05
  4. Step 4: Simplify right side
    1,627.82x = 2,463,623.95
  5. Step 5: Solve for x
    x = 2,463,623.95/1,627.82
  6. Step 6: Final answer
    x = 1,513.45

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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.