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Finding the Fourth Proportional to 1,795.63, 2,477.97 and 1,097

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Solution

The fourth proportional to 1,795.63, 2,477.97 and 1,097 is: 1,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,795.63 : 2,477.97 = 1,097 : x
  2. Step 2: Convert to fraction form
    1,795.63/2,477.97 = 1,097/x
  3. Step 3: Cross multiply
    1,795.63x = 2,477.97 × 1,097
  4. Step 4: Simplify right side
    1,795.63x = 2,718,333.09
  5. Step 5: Solve for x
    x = 2,718,333.09/1,795.63
  6. Step 6: Final answer
    x = 1,513.86

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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.