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Finding the Fourth Proportional to 2,967.82, 4,448.58 and 2,145.70

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Solution

The fourth proportional to 2,967.82, 4,448.58 and 2,145.70 is: 3,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.82 : 4,448.58 = 2,145.70 : x
  2. Step 2: Convert to fraction form
    2,967.82/4,448.58 = 2,145.70/x
  3. Step 3: Cross multiply
    2,967.82x = 4,448.58 × 2,145.70
  4. Step 4: Simplify right side
    2,967.82x = 9,545,318.11
  5. Step 5: Solve for x
    x = 9,545,318.11/2,967.82
  6. Step 6: Final answer
    x = 3,216.27

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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.