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Finding the Fourth Proportional to 1,964.03, 2,946.05 and 666.41

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Solution

The fourth proportional to 1,964.03, 2,946.05 and 666.41 is: 999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.03 : 2,946.05 = 666.41 : x
  2. Step 2: Convert to fraction form
    1,964.03/2,946.05 = 666.41/x
  3. Step 3: Cross multiply
    1,964.03x = 2,946.05 × 666.41
  4. Step 4: Simplify right side
    1,964.03x = 1,963,277.18
  5. Step 5: Solve for x
    x = 1,963,277.18/1,964.03
  6. Step 6: Final answer
    x = 999.62

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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.