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Finding the Fourth Proportional to 2,894.24, 3,994.16 and 2,097.96

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Solution

The fourth proportional to 2,894.24, 3,994.16 and 2,097.96 is: 2,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.24 : 3,994.16 = 2,097.96 : x
  2. Step 2: Convert to fraction form
    2,894.24/3,994.16 = 2,097.96/x
  3. Step 3: Cross multiply
    2,894.24x = 3,994.16 × 2,097.96
  4. Step 4: Simplify right side
    2,894.24x = 8,379,587.91
  5. Step 5: Solve for x
    x = 8,379,587.91/2,894.24
  6. Step 6: Final answer
    x = 2,895.26

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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.