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Finding the Fourth Proportional to 2,482.97, 3,426.92 and 1,435.64

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Solution

The fourth proportional to 2,482.97, 3,426.92 and 1,435.64 is: 1,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482.97 : 3,426.92 = 1,435.64 : x
  2. Step 2: Convert to fraction form
    2,482.97/3,426.92 = 1,435.64/x
  3. Step 3: Cross multiply
    2,482.97x = 3,426.92 × 1,435.64
  4. Step 4: Simplify right side
    2,482.97x = 4,919,799.12
  5. Step 5: Solve for x
    x = 4,919,799.12/2,482.97
  6. Step 6: Final answer
    x = 1,981.42

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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.