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Finding the Fourth Proportional to 2,040.94, 3,060.95 and 580.06

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Solution

The fourth proportional to 2,040.94, 3,060.95 and 580.06 is: 869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.94 : 3,060.95 = 580.06 : x
  2. Step 2: Convert to fraction form
    2,040.94/3,060.95 = 580.06/x
  3. Step 3: Cross multiply
    2,040.94x = 3,060.95 × 580.06
  4. Step 4: Simplify right side
    2,040.94x = 1,775,534.66
  5. Step 5: Solve for x
    x = 1,775,534.66/2,040.94
  6. Step 6: Final answer
    x = 869.96

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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.