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Finding the Fourth Proportional to 2,654.70, 3,986.10 and 2,039.10

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Solution

The fourth proportional to 2,654.70, 3,986.10 and 2,039.10 is: 3,061.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,654.70 : 3,986.10 = 2,039.10 : x
  2. Step 2: Convert to fraction form
    2,654.70/3,986.10 = 2,039.10/x
  3. Step 3: Cross multiply
    2,654.70x = 3,986.10 × 2,039.10
  4. Step 4: Simplify right side
    2,654.70x = 8,128,056.51
  5. Step 5: Solve for x
    x = 8,128,056.51/2,654.70
  6. Step 6: Final answer
    x = 3,061.76

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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.