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Finding the Fourth Proportional to 1,632.14, 2,446.16 and 657.70

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Solution

The fourth proportional to 1,632.14, 2,446.16 and 657.70 is: 985.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,632.14 : 2,446.16 = 657.70 : x
  2. Step 2: Convert to fraction form
    1,632.14/2,446.16 = 657.70/x
  3. Step 3: Cross multiply
    1,632.14x = 2,446.16 × 657.70
  4. Step 4: Simplify right side
    1,632.14x = 1,608,839.43
  5. Step 5: Solve for x
    x = 1,608,839.43/1,632.14
  6. Step 6: Final answer
    x = 985.72

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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.