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Finding the Fourth Proportional to 1,631.62, 2,447.34 and 657.46

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Solution

The fourth proportional to 1,631.62, 2,447.34 and 657.46 is: 986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.62 : 2,447.34 = 657.46 : x
  2. Step 2: Convert to fraction form
    1,631.62/2,447.34 = 657.46/x
  3. Step 3: Cross multiply
    1,631.62x = 2,447.34 × 657.46
  4. Step 4: Simplify right side
    1,631.62x = 1,609,028.16
  5. Step 5: Solve for x
    x = 1,609,028.16/1,631.62
  6. Step 6: Final answer
    x = 986.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.