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Finding the Fourth Proportional to 2,998.46, 4,490.40 and 2,071.56

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Solution

The fourth proportional to 2,998.46, 4,490.40 and 2,071.56 is: 3,102.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.46 : 4,490.40 = 2,071.56 : x
  2. Step 2: Convert to fraction form
    2,998.46/4,490.40 = 2,071.56/x
  3. Step 3: Cross multiply
    2,998.46x = 4,490.40 × 2,071.56
  4. Step 4: Simplify right side
    2,998.46x = 9,302,133.02
  5. Step 5: Solve for x
    x = 9,302,133.02/2,998.46
  6. Step 6: Final answer
    x = 3,102.30

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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.