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Finding the Fourth Proportional to 2,906.39, 4,348.82 and 1,737.03

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Solution

The fourth proportional to 2,906.39, 4,348.82 and 1,737.03 is: 2,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.39 : 4,348.82 = 1,737.03 : x
  2. Step 2: Convert to fraction form
    2,906.39/4,348.82 = 1,737.03/x
  3. Step 3: Cross multiply
    2,906.39x = 4,348.82 × 1,737.03
  4. Step 4: Simplify right side
    2,906.39x = 7,554,030.80
  5. Step 5: Solve for x
    x = 7,554,030.80/2,906.39
  6. Step 6: Final answer
    x = 2,599.11

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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.