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Finding the Fourth Proportional to 1,628.90, 2,246.82 and 1,255.22

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Solution

The fourth proportional to 1,628.90, 2,246.82 and 1,255.22 is: 1,731.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,628.90 : 2,246.82 = 1,255.22 : x
  2. Step 2: Convert to fraction form
    1,628.90/2,246.82 = 1,255.22/x
  3. Step 3: Cross multiply
    1,628.90x = 2,246.82 × 1,255.22
  4. Step 4: Simplify right side
    1,628.90x = 2,820,253.40
  5. Step 5: Solve for x
    x = 2,820,253.40/1,628.90
  6. Step 6: Final answer
    x = 1,731.39

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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.