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Finding the Fourth Proportional to 2,996.09, 4,498.71 and 1,612.13

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Solution

The fourth proportional to 2,996.09, 4,498.71 and 1,612.13 is: 2,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.09 : 4,498.71 = 1,612.13 : x
  2. Step 2: Convert to fraction form
    2,996.09/4,498.71 = 1,612.13/x
  3. Step 3: Cross multiply
    2,996.09x = 4,498.71 × 1,612.13
  4. Step 4: Simplify right side
    2,996.09x = 7,252,505.35
  5. Step 5: Solve for x
    x = 7,252,505.35/2,996.09
  6. Step 6: Final answer
    x = 2,420.66

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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.