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Finding the Fourth Proportional to 2,649.76, 3,653.52 and 1,716.64

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Solution

The fourth proportional to 2,649.76, 3,653.52 and 1,716.64 is: 2,366.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.76 : 3,653.52 = 1,716.64 : x
  2. Step 2: Convert to fraction form
    2,649.76/3,653.52 = 1,716.64/x
  3. Step 3: Cross multiply
    2,649.76x = 3,653.52 × 1,716.64
  4. Step 4: Simplify right side
    2,649.76x = 6,271,778.57
  5. Step 5: Solve for x
    x = 6,271,778.57/2,649.76
  6. Step 6: Final answer
    x = 2,366.92

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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.