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Finding the Fourth Proportional to 3,434.90, 4,740.26 and 1,942.78

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Solution

The fourth proportional to 3,434.90, 4,740.26 and 1,942.78 is: 2,681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.90 : 4,740.26 = 1,942.78 : x
  2. Step 2: Convert to fraction form
    3,434.90/4,740.26 = 1,942.78/x
  3. Step 3: Cross multiply
    3,434.90x = 4,740.26 × 1,942.78
  4. Step 4: Simplify right side
    3,434.90x = 9,209,282.32
  5. Step 5: Solve for x
    x = 9,209,282.32/3,434.90
  6. Step 6: Final answer
    x = 2,681.09

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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.