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Finding the Fourth Proportional to 1,956.09, 2,930.47 and 982.87

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Solution

The fourth proportional to 1,956.09, 2,930.47 and 982.87 is: 1,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.09 : 2,930.47 = 982.87 : x
  2. Step 2: Convert to fraction form
    1,956.09/2,930.47 = 982.87/x
  3. Step 3: Cross multiply
    1,956.09x = 2,930.47 × 982.87
  4. Step 4: Simplify right side
    1,956.09x = 2,880,271.05
  5. Step 5: Solve for x
    x = 2,880,271.05/1,956.09
  6. Step 6: Final answer
    x = 1,472.46

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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.