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Finding the Fourth Proportional to 2,040.83, 3,060.84 and 870.60

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Solution

The fourth proportional to 2,040.83, 3,060.84 and 870.60 is: 1,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.83 : 3,060.84 = 870.60 : x
  2. Step 2: Convert to fraction form
    2,040.83/3,060.84 = 870.60/x
  3. Step 3: Cross multiply
    2,040.83x = 3,060.84 × 870.60
  4. Step 4: Simplify right side
    2,040.83x = 2,664,767.30
  5. Step 5: Solve for x
    x = 2,664,767.30/2,040.83
  6. Step 6: Final answer
    x = 1,305.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.