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Finding the Fourth Proportional to 2,040.99, 3,060.48 and 654

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Solution

The fourth proportional to 2,040.99, 3,060.48 and 654 is: 980.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.99 : 3,060.48 = 654 : x
  2. Step 2: Convert to fraction form
    2,040.99/3,060.48 = 654/x
  3. Step 3: Cross multiply
    2,040.99x = 3,060.48 × 654
  4. Step 4: Simplify right side
    2,040.99x = 2,001,553.92
  5. Step 5: Solve for x
    x = 2,001,553.92/2,040.99
  6. Step 6: Final answer
    x = 980.68

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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.