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Finding the Fourth Proportional to 2,081.78, 3,123.35 and 986.00

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Solution

The fourth proportional to 2,081.78, 3,123.35 and 986.00 is: 1,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081.78 : 3,123.35 = 986.00 : x
  2. Step 2: Convert to fraction form
    2,081.78/3,123.35 = 986.00/x
  3. Step 3: Cross multiply
    2,081.78x = 3,123.35 × 986.00
  4. Step 4: Simplify right side
    2,081.78x = 3,079,606.25
  5. Step 5: Solve for x
    x = 3,079,606.25/2,081.78
  6. Step 6: Final answer
    x = 1,479.31

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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.