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Finding the Fourth Proportional to 2,597.78, 3,584.93 and 1,418.85

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Solution

The fourth proportional to 2,597.78, 3,584.93 and 1,418.85 is: 1,958.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.78 : 3,584.93 = 1,418.85 : x
  2. Step 2: Convert to fraction form
    2,597.78/3,584.93 = 1,418.85/x
  3. Step 3: Cross multiply
    2,597.78x = 3,584.93 × 1,418.85
  4. Step 4: Simplify right side
    2,597.78x = 5,086,477.93
  5. Step 5: Solve for x
    x = 5,086,477.93/2,597.78
  6. Step 6: Final answer
    x = 1,958.01

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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.