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Finding the Fourth Proportional to 2,914.84, 4,370.64 and 1,181.44

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Solution

The fourth proportional to 2,914.84, 4,370.64 and 1,181.44 is: 1,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914.84 : 4,370.64 = 1,181.44 : x
  2. Step 2: Convert to fraction form
    2,914.84/4,370.64 = 1,181.44/x
  3. Step 3: Cross multiply
    2,914.84x = 4,370.64 × 1,181.44
  4. Step 4: Simplify right side
    2,914.84x = 5,163,648.92
  5. Step 5: Solve for x
    x = 5,163,648.92/2,914.84
  6. Step 6: Final answer
    x = 1,771.50

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Why These Related Problems?

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