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Finding the Fourth Proportional to 2,147.34, 3,224.28 and 2,041.64

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Solution

The fourth proportional to 2,147.34, 3,224.28 and 2,041.64 is: 3,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.34 : 3,224.28 = 2,041.64 : x
  2. Step 2: Convert to fraction form
    2,147.34/3,224.28 = 2,041.64/x
  3. Step 3: Cross multiply
    2,147.34x = 3,224.28 × 2,041.64
  4. Step 4: Simplify right side
    2,147.34x = 6,582,802.90
  5. Step 5: Solve for x
    x = 6,582,802.90/2,147.34
  6. Step 6: Final answer
    x = 3,065.56

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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.