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Finding the Fourth Proportional to 1,219.09, 1,829.58 and 671.26

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Solution

The fourth proportional to 1,219.09, 1,829.58 and 671.26 is: 1,007.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.09 : 1,829.58 = 671.26 : x
  2. Step 2: Convert to fraction form
    1,219.09/1,829.58 = 671.26/x
  3. Step 3: Cross multiply
    1,219.09x = 1,829.58 × 671.26
  4. Step 4: Simplify right side
    1,219.09x = 1,228,123.87
  5. Step 5: Solve for x
    x = 1,228,123.87/1,219.09
  6. Step 6: Final answer
    x = 1,007.41

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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.