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Finding the Fourth Proportional to 1,830.97, 2,744.81 and 660.16

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Solution

The fourth proportional to 1,830.97, 2,744.81 and 660.16 is: 989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.97 : 2,744.81 = 660.16 : x
  2. Step 2: Convert to fraction form
    1,830.97/2,744.81 = 660.16/x
  3. Step 3: Cross multiply
    1,830.97x = 2,744.81 × 660.16
  4. Step 4: Simplify right side
    1,830.97x = 1,812,013.77
  5. Step 5: Solve for x
    x = 1,812,013.77/1,830.97
  6. Step 6: Final answer
    x = 989.65

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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.