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Finding the Fourth Proportional to 3,136.44, 4,702.86 and 2,097.63

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Solution

The fourth proportional to 3,136.44, 4,702.86 and 2,097.63 is: 3,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.44 : 4,702.86 = 2,097.63 : x
  2. Step 2: Convert to fraction form
    3,136.44/4,702.86 = 2,097.63/x
  3. Step 3: Cross multiply
    3,136.44x = 4,702.86 × 2,097.63
  4. Step 4: Simplify right side
    3,136.44x = 9,864,860.22
  5. Step 5: Solve for x
    x = 9,864,860.22/3,136.44
  6. Step 6: Final answer
    x = 3,145.24

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1.5x scale

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.