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Finding the Fourth Proportional to 2,996.63, 4,135.46 and 1,737.66

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Solution

The fourth proportional to 2,996.63, 4,135.46 and 1,737.66 is: 2,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.63 : 4,135.46 = 1,737.66 : x
  2. Step 2: Convert to fraction form
    2,996.63/4,135.46 = 1,737.66/x
  3. Step 3: Cross multiply
    2,996.63x = 4,135.46 × 1,737.66
  4. Step 4: Simplify right side
    2,996.63x = 7,186,023.42
  5. Step 5: Solve for x
    x = 7,186,023.42/2,996.63
  6. Step 6: Final answer
    x = 2,398.03

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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.