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Finding the Fourth Proportional to 2,970.96, 4,453.39 and 2,147.19

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Solution

The fourth proportional to 2,970.96, 4,453.39 and 2,147.19 is: 3,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.96 : 4,453.39 = 2,147.19 : x
  2. Step 2: Convert to fraction form
    2,970.96/4,453.39 = 2,147.19/x
  3. Step 3: Cross multiply
    2,970.96x = 4,453.39 × 2,147.19
  4. Step 4: Simplify right side
    2,970.96x = 9,562,274.47
  5. Step 5: Solve for x
    x = 9,562,274.47/2,970.96
  6. Step 6: Final answer
    x = 3,218.58

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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.