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Finding the Fourth Proportional to 2,040.37, 3,060.78 and 653.22

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Solution

The fourth proportional to 2,040.37, 3,060.78 and 653.22 is: 979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.37 : 3,060.78 = 653.22 : x
  2. Step 2: Convert to fraction form
    2,040.37/3,060.78 = 653.22/x
  3. Step 3: Cross multiply
    2,040.37x = 3,060.78 × 653.22
  4. Step 4: Simplify right side
    2,040.37x = 1,999,362.71
  5. Step 5: Solve for x
    x = 1,999,362.71/2,040.37
  6. Step 6: Final answer
    x = 979.90

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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.