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Finding the Fourth Proportional to 2,465.68, 3,694.84 and 1,425.04

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Solution

The fourth proportional to 2,465.68, 3,694.84 and 1,425.04 is: 2,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.68 : 3,694.84 = 1,425.04 : x
  2. Step 2: Convert to fraction form
    2,465.68/3,694.84 = 1,425.04/x
  3. Step 3: Cross multiply
    2,465.68x = 3,694.84 × 1,425.04
  4. Step 4: Simplify right side
    2,465.68x = 5,265,294.79
  5. Step 5: Solve for x
    x = 5,265,294.79/2,465.68
  6. Step 6: Final answer
    x = 2,135.43

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