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Finding the Fourth Proportional to 1,965.84, 2,946.93 and 871.41

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Solution

The fourth proportional to 1,965.84, 2,946.93 and 871.41 is: 1,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.84 : 2,946.93 = 871.41 : x
  2. Step 2: Convert to fraction form
    1,965.84/2,946.93 = 871.41/x
  3. Step 3: Cross multiply
    1,965.84x = 2,946.93 × 871.41
  4. Step 4: Simplify right side
    1,965.84x = 2,567,984.27
  5. Step 5: Solve for x
    x = 2,567,984.27/1,965.84
  6. Step 6: Final answer
    x = 1,306.30

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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.