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Finding the Fourth Proportional to 2,968.32, 4,091.85 and 2,492.64

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Solution

The fourth proportional to 2,968.32, 4,091.85 and 2,492.64 is: 3,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.32 : 4,091.85 = 2,492.64 : x
  2. Step 2: Convert to fraction form
    2,968.32/4,091.85 = 2,492.64/x
  3. Step 3: Cross multiply
    2,968.32x = 4,091.85 × 2,492.64
  4. Step 4: Simplify right side
    2,968.32x = 10,199,508.98
  5. Step 5: Solve for x
    x = 10,199,508.98/2,968.32
  6. Step 6: Final answer
    x = 3,436.12

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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.