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Finding the Fourth Proportional to 2,597.00, 3,583.86 and 1,418.09

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Solution

The fourth proportional to 2,597.00, 3,583.86 and 1,418.09 is: 1,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.00 : 3,583.86 = 1,418.09 : x
  2. Step 2: Convert to fraction form
    2,597.00/3,583.86 = 1,418.09/x
  3. Step 3: Cross multiply
    2,597.00x = 3,583.86 × 1,418.09
  4. Step 4: Simplify right side
    2,597.00x = 5,082,218.11
  5. Step 5: Solve for x
    x = 5,082,218.11/2,597.00
  6. Step 6: Final answer
    x = 1,956.96

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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.