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Finding the Fourth Proportional to 2,996.64, 4,135.19 and 1,737.61

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Solution

The fourth proportional to 2,996.64, 4,135.19 and 1,737.61 is: 2,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.64 : 4,135.19 = 1,737.61 : x
  2. Step 2: Convert to fraction form
    2,996.64/4,135.19 = 1,737.61/x
  3. Step 3: Cross multiply
    2,996.64x = 4,135.19 × 1,737.61
  4. Step 4: Simplify right side
    2,996.64x = 7,185,328.47
  5. Step 5: Solve for x
    x = 7,185,328.47/2,996.64
  6. Step 6: Final answer
    x = 2,397.80

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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.