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Finding the Fourth Proportional to 1,977.16, 2,964.74 and 660.46

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Solution

The fourth proportional to 1,977.16, 2,964.74 and 660.46 is: 990.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.16 : 2,964.74 = 660.46 : x
  2. Step 2: Convert to fraction form
    1,977.16/2,964.74 = 660.46/x
  3. Step 3: Cross multiply
    1,977.16x = 2,964.74 × 660.46
  4. Step 4: Simplify right side
    1,977.16x = 1,958,092.18
  5. Step 5: Solve for x
    x = 1,958,092.18/1,977.16
  6. Step 6: Final answer
    x = 990.36

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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.