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Finding the Fourth Proportional to 2,040.66, 3,060.52 and 999.61

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Solution

The fourth proportional to 2,040.66, 3,060.52 and 999.61 is: 1,499.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.66 : 3,060.52 = 999.61 : x
  2. Step 2: Convert to fraction form
    2,040.66/3,060.52 = 999.61/x
  3. Step 3: Cross multiply
    2,040.66x = 3,060.52 × 999.61
  4. Step 4: Simplify right side
    2,040.66x = 3,059,321.40
  5. Step 5: Solve for x
    x = 3,059,321.40/2,040.66
  6. Step 6: Final answer
    x = 1,499.19

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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.