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Finding the Fourth Proportional to 2,047.28, 3,070.81 and 660.58

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Solution

The fourth proportional to 2,047.28, 3,070.81 and 660.58 is: 990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.28 : 3,070.81 = 660.58 : x
  2. Step 2: Convert to fraction form
    2,047.28/3,070.81 = 660.58/x
  3. Step 3: Cross multiply
    2,047.28x = 3,070.81 × 660.58
  4. Step 4: Simplify right side
    2,047.28x = 2,028,515.67
  5. Step 5: Solve for x
    x = 2,028,515.67/2,047.28
  6. Step 6: Final answer
    x = 990.83

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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.