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Finding the Fourth Proportional to 2,597.16, 3,584.07 and 1,418.24

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Solution

The fourth proportional to 2,597.16, 3,584.07 and 1,418.24 is: 1,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.16 : 3,584.07 = 1,418.24 : x
  2. Step 2: Convert to fraction form
    2,597.16/3,584.07 = 1,418.24/x
  3. Step 3: Cross multiply
    2,597.16x = 3,584.07 × 1,418.24
  4. Step 4: Simplify right side
    2,597.16x = 5,083,071.44
  5. Step 5: Solve for x
    x = 5,083,071.44/2,597.16
  6. Step 6: Final answer
    x = 1,957.17

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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.