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Finding the Fourth Proportional to 2,970.69, 4,447.53 and 1,995.05

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Solution

The fourth proportional to 2,970.69, 4,447.53 and 1,995.05 is: 2,986.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.69 : 4,447.53 = 1,995.05 : x
  2. Step 2: Convert to fraction form
    2,970.69/4,447.53 = 1,995.05/x
  3. Step 3: Cross multiply
    2,970.69x = 4,447.53 × 1,995.05
  4. Step 4: Simplify right side
    2,970.69x = 8,873,044.73
  5. Step 5: Solve for x
    x = 8,873,044.73/2,970.69
  6. Step 6: Final answer
    x = 2,986.86

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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.