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Finding the Fourth Proportional to 1,964.44, 2,946.06 and 976.24

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Solution

The fourth proportional to 1,964.44, 2,946.06 and 976.24 is: 1,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.44 : 2,946.06 = 976.24 : x
  2. Step 2: Convert to fraction form
    1,964.44/2,946.06 = 976.24/x
  3. Step 3: Cross multiply
    1,964.44x = 2,946.06 × 976.24
  4. Step 4: Simplify right side
    1,964.44x = 2,876,061.61
  5. Step 5: Solve for x
    x = 2,876,061.61/1,964.44
  6. Step 6: Final answer
    x = 1,464.06

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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.