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Finding the Fourth Proportional to 2,329.46, 3,210.64 and 1,997.46

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Solution

The fourth proportional to 2,329.46, 3,210.64 and 1,997.46 is: 2,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.46 : 3,210.64 = 1,997.46 : x
  2. Step 2: Convert to fraction form
    2,329.46/3,210.64 = 1,997.46/x
  3. Step 3: Cross multiply
    2,329.46x = 3,210.64 × 1,997.46
  4. Step 4: Simplify right side
    2,329.46x = 6,413,119.98
  5. Step 5: Solve for x
    x = 6,413,119.98/2,329.46
  6. Step 6: Final answer
    x = 2,753.05

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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.