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Finding the Fourth Proportional to 2,847.66, 3,930.68 and 1,668.50

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Solution

The fourth proportional to 2,847.66, 3,930.68 and 1,668.50 is: 2,303.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.66 : 3,930.68 = 1,668.50 : x
  2. Step 2: Convert to fraction form
    2,847.66/3,930.68 = 1,668.50/x
  3. Step 3: Cross multiply
    2,847.66x = 3,930.68 × 1,668.50
  4. Step 4: Simplify right side
    2,847.66x = 6,558,329.45
  5. Step 5: Solve for x
    x = 6,558,329.45/2,847.66
  6. Step 6: Final answer
    x = 2,303.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.