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Finding the Fourth Proportional to 2,072.00, 3,107.09 and 1,097.89

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Solution

The fourth proportional to 2,072.00, 3,107.09 and 1,097.89 is: 1,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.00 : 3,107.09 = 1,097.89 : x
  2. Step 2: Convert to fraction form
    2,072.00/3,107.09 = 1,097.89/x
  3. Step 3: Cross multiply
    2,072.00x = 3,107.09 × 1,097.89
  4. Step 4: Simplify right side
    2,072.00x = 3,411,238.02
  5. Step 5: Solve for x
    x = 3,411,238.02/2,072.00
  6. Step 6: Final answer
    x = 1,646.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.