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Finding the Fourth Proportional to 3,112.10, 4,668.95 and 920.83

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Solution

The fourth proportional to 3,112.10, 4,668.95 and 920.83 is: 1,381.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.10 : 4,668.95 = 920.83 : x
  2. Step 2: Convert to fraction form
    3,112.10/4,668.95 = 920.83/x
  3. Step 3: Cross multiply
    3,112.10x = 4,668.95 × 920.83
  4. Step 4: Simplify right side
    3,112.10x = 4,299,292.95
  5. Step 5: Solve for x
    x = 4,299,292.95/3,112.10
  6. Step 6: Final answer
    x = 1,381.48

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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.