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Finding the Fourth Proportional to 2,968.97, 4,093.59 and 2,402.40

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Solution

The fourth proportional to 2,968.97, 4,093.59 and 2,402.40 is: 3,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.97 : 4,093.59 = 2,402.40 : x
  2. Step 2: Convert to fraction form
    2,968.97/4,093.59 = 2,402.40/x
  3. Step 3: Cross multiply
    2,968.97x = 4,093.59 × 2,402.40
  4. Step 4: Simplify right side
    2,968.97x = 9,834,440.62
  5. Step 5: Solve for x
    x = 9,834,440.62/2,968.97
  6. Step 6: Final answer
    x = 3,312.41

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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.