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Finding the Fourth Proportional to 1,953.56, 2,942.03 and 1,713

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Solution

The fourth proportional to 1,953.56, 2,942.03 and 1,713 is: 2,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.56 : 2,942.03 = 1,713 : x
  2. Step 2: Convert to fraction form
    1,953.56/2,942.03 = 1,713/x
  3. Step 3: Cross multiply
    1,953.56x = 2,942.03 × 1,713
  4. Step 4: Simplify right side
    1,953.56x = 5,039,697.39
  5. Step 5: Solve for x
    x = 5,039,697.39/1,953.56
  6. Step 6: Final answer
    x = 2,579.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.