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Finding the Fourth Proportional to 2,597.33, 3,893.29 and 1,946.09

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Solution

The fourth proportional to 2,597.33, 3,893.29 and 1,946.09 is: 2,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.33 : 3,893.29 = 1,946.09 : x
  2. Step 2: Convert to fraction form
    2,597.33/3,893.29 = 1,946.09/x
  3. Step 3: Cross multiply
    2,597.33x = 3,893.29 × 1,946.09
  4. Step 4: Simplify right side
    2,597.33x = 7,576,692.74
  5. Step 5: Solve for x
    x = 7,576,692.74/2,597.33
  6. Step 6: Final answer
    x = 2,917.11

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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.