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Finding the Fourth Proportional to 2,996.49, 4,135.15 and 1,737.80

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Solution

The fourth proportional to 2,996.49, 4,135.15 and 1,737.80 is: 2,398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.49 : 4,135.15 = 1,737.80 : x
  2. Step 2: Convert to fraction form
    2,996.49/4,135.15 = 1,737.80/x
  3. Step 3: Cross multiply
    2,996.49x = 4,135.15 × 1,737.80
  4. Step 4: Simplify right side
    2,996.49x = 7,186,083.93
  5. Step 5: Solve for x
    x = 7,186,083.93/2,996.49
  6. Step 6: Final answer
    x = 2,398.16

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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.