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Finding the Fourth Proportional to 2,597.94, 3,586.77 and 1,654.26

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Solution

The fourth proportional to 2,597.94, 3,586.77 and 1,654.26 is: 2,283.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.94 : 3,586.77 = 1,654.26 : x
  2. Step 2: Convert to fraction form
    2,597.94/3,586.77 = 1,654.26/x
  3. Step 3: Cross multiply
    2,597.94x = 3,586.77 × 1,654.26
  4. Step 4: Simplify right side
    2,597.94x = 5,933,450.14
  5. Step 5: Solve for x
    x = 5,933,450.14/2,597.94
  6. Step 6: Final answer
    x = 2,283.91

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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.