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Finding the Fourth Proportional to 2,894.45, 4,341.68 and 1,662.44

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Solution

The fourth proportional to 2,894.45, 4,341.68 and 1,662.44 is: 2,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,894.45 : 4,341.68 = 1,662.44 : x
  2. Step 2: Convert to fraction form
    2,894.45/4,341.68 = 1,662.44/x
  3. Step 3: Cross multiply
    2,894.45x = 4,341.68 × 1,662.44
  4. Step 4: Simplify right side
    2,894.45x = 7,217,774.19
  5. Step 5: Solve for x
    x = 7,217,774.19/2,894.45
  6. Step 6: Final answer
    x = 2,493.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.