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Finding the Fourth Proportional to 2,597.49, 3,584.52 and 1,418.55

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Solution

The fourth proportional to 2,597.49, 3,584.52 and 1,418.55 is: 1,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.49 : 3,584.52 = 1,418.55 : x
  2. Step 2: Convert to fraction form
    2,597.49/3,584.52 = 1,418.55/x
  3. Step 3: Cross multiply
    2,597.49x = 3,584.52 × 1,418.55
  4. Step 4: Simplify right side
    2,597.49x = 5,084,820.85
  5. Step 5: Solve for x
    x = 5,084,820.85/2,597.49
  6. Step 6: Final answer
    x = 1,957.59

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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.