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Finding the Fourth Proportional to 2,758.84, 4,136.64 and 1,115.44

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Solution

The fourth proportional to 2,758.84, 4,136.64 and 1,115.44 is: 1,672.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.84 : 4,136.64 = 1,115.44 : x
  2. Step 2: Convert to fraction form
    2,758.84/4,136.64 = 1,115.44/x
  3. Step 3: Cross multiply
    2,758.84x = 4,136.64 × 1,115.44
  4. Step 4: Simplify right side
    2,758.84x = 4,614,173.72
  5. Step 5: Solve for x
    x = 4,614,173.72/2,758.84
  6. Step 6: Final answer
    x = 1,672.51

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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.