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Finding the Fourth Proportional to 2,145.46, 2,962.41 and 1,647.31

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Solution

The fourth proportional to 2,145.46, 2,962.41 and 1,647.31 is: 2,274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.46 : 2,962.41 = 1,647.31 : x
  2. Step 2: Convert to fraction form
    2,145.46/2,962.41 = 1,647.31/x
  3. Step 3: Cross multiply
    2,145.46x = 2,962.41 × 1,647.31
  4. Step 4: Simplify right side
    2,145.46x = 4,880,007.62
  5. Step 5: Solve for x
    x = 4,880,007.62/2,145.46
  6. Step 6: Final answer
    x = 2,274.57

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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.