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Finding the Fourth Proportional to 3,434.57, 4,740.39 and 1,942.49

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Solution

The fourth proportional to 3,434.57, 4,740.39 and 1,942.49 is: 2,681.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.57 : 4,740.39 = 1,942.49 : x
  2. Step 2: Convert to fraction form
    3,434.57/4,740.39 = 1,942.49/x
  3. Step 3: Cross multiply
    3,434.57x = 4,740.39 × 1,942.49
  4. Step 4: Simplify right side
    3,434.57x = 9,208,160.17
  5. Step 5: Solve for x
    x = 9,208,160.17/3,434.57
  6. Step 6: Final answer
    x = 2,681.02

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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.