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Finding the Fourth Proportional to 2,028.84, 2,799.42 and 1,232.22

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Solution

The fourth proportional to 2,028.84, 2,799.42 and 1,232.22 is: 1,700.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.84 : 2,799.42 = 1,232.22 : x
  2. Step 2: Convert to fraction form
    2,028.84/2,799.42 = 1,232.22/x
  3. Step 3: Cross multiply
    2,028.84x = 2,799.42 × 1,232.22
  4. Step 4: Simplify right side
    2,028.84x = 3,449,501.31
  5. Step 5: Solve for x
    x = 3,449,501.31/2,028.84
  6. Step 6: Final answer
    x = 1,700.23

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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.