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Finding the Fourth Proportional to 1,256.88, 1,874.49 and 1,216.38

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Solution

The fourth proportional to 1,256.88, 1,874.49 and 1,216.38 is: 1,814.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.88 : 1,874.49 = 1,216.38 : x
  2. Step 2: Convert to fraction form
    1,256.88/1,874.49 = 1,216.38/x
  3. Step 3: Cross multiply
    1,256.88x = 1,874.49 × 1,216.38
  4. Step 4: Simplify right side
    1,256.88x = 2,280,092.15
  5. Step 5: Solve for x
    x = 2,280,092.15/1,256.88
  6. Step 6: Final answer
    x = 1,814.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.