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Finding the Fourth Proportional to 1,417, 2,126.21 and 677.44

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Solution

The fourth proportional to 1,417, 2,126.21 and 677.44 is: 1,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417 : 2,126.21 = 677.44 : x
  2. Step 2: Convert to fraction form
    1,417/2,126.21 = 677.44/x
  3. Step 3: Cross multiply
    1,417x = 2,126.21 × 677.44
  4. Step 4: Simplify right side
    1,417x = 1,440,379.70
  5. Step 5: Solve for x
    x = 1,440,379.70/1,417
  6. Step 6: Final answer
    x = 1,016.50

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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.