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Finding the Fourth Proportional to 2,660.43, 3,670.30 and 1,716.02

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Solution

The fourth proportional to 2,660.43, 3,670.30 and 1,716.02 is: 2,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.43 : 3,670.30 = 1,716.02 : x
  2. Step 2: Convert to fraction form
    2,660.43/3,670.30 = 1,716.02/x
  3. Step 3: Cross multiply
    2,660.43x = 3,670.30 × 1,716.02
  4. Step 4: Simplify right side
    2,660.43x = 6,298,308.21
  5. Step 5: Solve for x
    x = 6,298,308.21/2,660.43
  6. Step 6: Final answer
    x = 2,367.40

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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.