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Finding the Fourth Proportional to 2,968.84, 4,094.34 and 2,409.16

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Solution

The fourth proportional to 2,968.84, 4,094.34 and 2,409.16 is: 3,322.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.84 : 4,094.34 = 2,409.16 : x
  2. Step 2: Convert to fraction form
    2,968.84/4,094.34 = 2,409.16/x
  3. Step 3: Cross multiply
    2,968.84x = 4,094.34 × 2,409.16
  4. Step 4: Simplify right side
    2,968.84x = 9,863,920.15
  5. Step 5: Solve for x
    x = 9,863,920.15/2,968.84
  6. Step 6: Final answer
    x = 3,322.48

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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.