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Finding the Fourth Proportional to 2,086.71, 2,880.80 and 1,660.50

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Solution

The fourth proportional to 2,086.71, 2,880.80 and 1,660.50 is: 2,292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,086.71 : 2,880.80 = 1,660.50 : x
  2. Step 2: Convert to fraction form
    2,086.71/2,880.80 = 1,660.50/x
  3. Step 3: Cross multiply
    2,086.71x = 2,880.80 × 1,660.50
  4. Step 4: Simplify right side
    2,086.71x = 4,783,560.10
  5. Step 5: Solve for x
    x = 4,783,560.10/2,086.71
  6. Step 6: Final answer
    x = 2,292.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.