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Finding the Fourth Proportional to 3,117.85, 4,676.97 and 926.39

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Solution

The fourth proportional to 3,117.85, 4,676.97 and 926.39 is: 1,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.85 : 4,676.97 = 926.39 : x
  2. Step 2: Convert to fraction form
    3,117.85/4,676.97 = 926.39/x
  3. Step 3: Cross multiply
    3,117.85x = 4,676.97 × 926.39
  4. Step 4: Simplify right side
    3,117.85x = 4,332,713.40
  5. Step 5: Solve for x
    x = 4,332,713.40/3,117.85
  6. Step 6: Final answer
    x = 1,389.65

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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.