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Finding the Fourth Proportional to 2,597.64, 3,584.86 and 1,418.82

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Solution

The fourth proportional to 2,597.64, 3,584.86 and 1,418.82 is: 1,958.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.64 : 3,584.86 = 1,418.82 : x
  2. Step 2: Convert to fraction form
    2,597.64/3,584.86 = 1,418.82/x
  3. Step 3: Cross multiply
    2,597.64x = 3,584.86 × 1,418.82
  4. Step 4: Simplify right side
    2,597.64x = 5,086,271.07
  5. Step 5: Solve for x
    x = 5,086,271.07/2,597.64
  6. Step 6: Final answer
    x = 1,958.04

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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.