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Finding the Fourth Proportional to 2,086.79, 3,128.71 and 1,046.05

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Solution

The fourth proportional to 2,086.79, 3,128.71 and 1,046.05 is: 1,568.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.79 : 3,128.71 = 1,046.05 : x
  2. Step 2: Convert to fraction form
    2,086.79/3,128.71 = 1,046.05/x
  3. Step 3: Cross multiply
    2,086.79x = 3,128.71 × 1,046.05
  4. Step 4: Simplify right side
    2,086.79x = 3,272,787.10
  5. Step 5: Solve for x
    x = 3,272,787.10/2,086.79
  6. Step 6: Final answer
    x = 1,568.34

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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.