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Finding the Fourth Proportional to 2,040.52, 3,060.02 and 653.48

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Solution

The fourth proportional to 2,040.52, 3,060.02 and 653.48 is: 979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.52 : 3,060.02 = 653.48 : x
  2. Step 2: Convert to fraction form
    2,040.52/3,060.02 = 653.48/x
  3. Step 3: Cross multiply
    2,040.52x = 3,060.02 × 653.48
  4. Step 4: Simplify right side
    2,040.52x = 1,999,661.87
  5. Step 5: Solve for x
    x = 1,999,661.87/2,040.52
  6. Step 6: Final answer
    x = 979.98

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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.