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Finding the Fourth Proportional to 2,689.58, 3,712.83 and 2,584.82

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Solution

The fourth proportional to 2,689.58, 3,712.83 and 2,584.82 is: 3,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.58 : 3,712.83 = 2,584.82 : x
  2. Step 2: Convert to fraction form
    2,689.58/3,712.83 = 2,584.82/x
  3. Step 3: Cross multiply
    2,689.58x = 3,712.83 × 2,584.82
  4. Step 4: Simplify right side
    2,689.58x = 9,596,997.24
  5. Step 5: Solve for x
    x = 9,596,997.24/2,689.58
  6. Step 6: Final answer
    x = 3,568.21

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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.