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Finding the Fourth Proportional to 1,349.25, 2,012.21 and 1,256.91

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Solution

The fourth proportional to 1,349.25, 2,012.21 and 1,256.91 is: 1,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.25 : 2,012.21 = 1,256.91 : x
  2. Step 2: Convert to fraction form
    1,349.25/2,012.21 = 1,256.91/x
  3. Step 3: Cross multiply
    1,349.25x = 2,012.21 × 1,256.91
  4. Step 4: Simplify right side
    1,349.25x = 2,529,160.59
  5. Step 5: Solve for x
    x = 2,529,160.59/1,349.25
  6. Step 6: Final answer
    x = 1,874.49

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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.