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Finding the Fourth Proportional to 2,057.84, 3,087.30 and 1,083.68

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Solution

The fourth proportional to 2,057.84, 3,087.30 and 1,083.68 is: 1,625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.84 : 3,087.30 = 1,083.68 : x
  2. Step 2: Convert to fraction form
    2,057.84/3,087.30 = 1,083.68/x
  3. Step 3: Cross multiply
    2,057.84x = 3,087.30 × 1,083.68
  4. Step 4: Simplify right side
    2,057.84x = 3,345,645.26
  5. Step 5: Solve for x
    x = 3,345,645.26/2,057.84
  6. Step 6: Final answer
    x = 1,625.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.