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Finding the Fourth Proportional to 2,775.97, 3,830.72 and 1,517.07

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Solution

The fourth proportional to 2,775.97, 3,830.72 and 1,517.07 is: 2,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.97 : 3,830.72 = 1,517.07 : x
  2. Step 2: Convert to fraction form
    2,775.97/3,830.72 = 1,517.07/x
  3. Step 3: Cross multiply
    2,775.97x = 3,830.72 × 1,517.07
  4. Step 4: Simplify right side
    2,775.97x = 5,811,461.24
  5. Step 5: Solve for x
    x = 5,811,461.24/2,775.97
  6. Step 6: Final answer
    x = 2,093.49

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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.