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Finding the Fourth Proportional to 2,482.25, 3,419.89 and 1,920.78

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Solution

The fourth proportional to 2,482.25, 3,419.89 and 1,920.78 is: 2,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.25 : 3,419.89 = 1,920.78 : x
  2. Step 2: Convert to fraction form
    2,482.25/3,419.89 = 1,920.78/x
  3. Step 3: Cross multiply
    2,482.25x = 3,419.89 × 1,920.78
  4. Step 4: Simplify right side
    2,482.25x = 6,568,851.51
  5. Step 5: Solve for x
    x = 6,568,851.51/2,482.25
  6. Step 6: Final answer
    x = 2,646.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.