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Finding the Fourth Proportional to 2,597.41, 3,584.42 and 1,418.47

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Solution

The fourth proportional to 2,597.41, 3,584.42 and 1,418.47 is: 1,957.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.41 : 3,584.42 = 1,418.47 : x
  2. Step 2: Convert to fraction form
    2,597.41/3,584.42 = 1,418.47/x
  3. Step 3: Cross multiply
    2,597.41x = 3,584.42 × 1,418.47
  4. Step 4: Simplify right side
    2,597.41x = 5,084,385.15
  5. Step 5: Solve for x
    x = 5,084,385.15/2,597.41
  6. Step 6: Final answer
    x = 1,957.48

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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.