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Finding the Fourth Proportional to 1,627.09, 2,436.97 and 976.45

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Solution

The fourth proportional to 1,627.09, 2,436.97 and 976.45 is: 1,462.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.09 : 2,436.97 = 976.45 : x
  2. Step 2: Convert to fraction form
    1,627.09/2,436.97 = 976.45/x
  3. Step 3: Cross multiply
    1,627.09x = 2,436.97 × 976.45
  4. Step 4: Simplify right side
    1,627.09x = 2,379,579.36
  5. Step 5: Solve for x
    x = 2,379,579.36/1,627.09
  6. Step 6: Final answer
    x = 1,462.48

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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.