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Finding the Fourth Proportional to 2,136.95, 2,949 and 1,253.27

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Solution

The fourth proportional to 2,136.95, 2,949 and 1,253.27 is: 1,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.95 : 2,949 = 1,253.27 : x
  2. Step 2: Convert to fraction form
    2,136.95/2,949 = 1,253.27/x
  3. Step 3: Cross multiply
    2,136.95x = 2,949 × 1,253.27
  4. Step 4: Simplify right side
    2,136.95x = 3,695,893.23
  5. Step 5: Solve for x
    x = 3,695,893.23/2,136.95
  6. Step 6: Final answer
    x = 1,729.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.