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Finding the Fourth Proportional to 1,964.85, 2,943.93 and 976.35

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Solution

The fourth proportional to 1,964.85, 2,943.93 and 976.35 is: 1,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.85 : 2,943.93 = 976.35 : x
  2. Step 2: Convert to fraction form
    1,964.85/2,943.93 = 976.35/x
  3. Step 3: Cross multiply
    1,964.85x = 2,943.93 × 976.35
  4. Step 4: Simplify right side
    1,964.85x = 2,874,306.06
  5. Step 5: Solve for x
    x = 2,874,306.06/1,964.85
  6. Step 6: Final answer
    x = 1,462.86

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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.