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Finding the Fourth Proportional to 2,660.70, 3,673.42 and 1,716.96

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Solution

The fourth proportional to 2,660.70, 3,673.42 and 1,716.96 is: 2,370.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.70 : 3,673.42 = 1,716.96 : x
  2. Step 2: Convert to fraction form
    2,660.70/3,673.42 = 1,716.96/x
  3. Step 3: Cross multiply
    2,660.70x = 3,673.42 × 1,716.96
  4. Step 4: Simplify right side
    2,660.70x = 6,307,115.20
  5. Step 5: Solve for x
    x = 6,307,115.20/2,660.70
  6. Step 6: Final answer
    x = 2,370.47

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1.5x scale

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.