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Finding the Fourth Proportional to 2,999.83, 4,140 and 1,673.86

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Solution

The fourth proportional to 2,999.83, 4,140 and 1,673.86 is: 2,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.83 : 4,140 = 1,673.86 : x
  2. Step 2: Convert to fraction form
    2,999.83/4,140 = 1,673.86/x
  3. Step 3: Cross multiply
    2,999.83x = 4,140 × 1,673.86
  4. Step 4: Simplify right side
    2,999.83x = 6,929,780.40
  5. Step 5: Solve for x
    x = 6,929,780.40/2,999.83
  6. Step 6: Final answer
    x = 2,310.06

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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.