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Finding the Fourth Proportional to 3,117.26, 4,676.78 and 926.03

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Solution

The fourth proportional to 3,117.26, 4,676.78 and 926.03 is: 1,389.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.26 : 4,676.78 = 926.03 : x
  2. Step 2: Convert to fraction form
    3,117.26/4,676.78 = 926.03/x
  3. Step 3: Cross multiply
    3,117.26x = 4,676.78 × 926.03
  4. Step 4: Simplify right side
    3,117.26x = 4,330,852.59
  5. Step 5: Solve for x
    x = 4,330,852.59/3,117.26
  6. Step 6: Final answer
    x = 1,389.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.