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Finding the Fourth Proportional to 2,996.30, 4,490.40 and 2,006.30

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Solution

The fourth proportional to 2,996.30, 4,490.40 and 2,006.30 is: 3,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.30 : 4,490.40 = 2,006.30 : x
  2. Step 2: Convert to fraction form
    2,996.30/4,490.40 = 2,006.30/x
  3. Step 3: Cross multiply
    2,996.30x = 4,490.40 × 2,006.30
  4. Step 4: Simplify right side
    2,996.30x = 9,009,089.52
  5. Step 5: Solve for x
    x = 9,009,089.52/2,996.30
  6. Step 6: Final answer
    x = 3,006.74

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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.