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Finding the Fourth Proportional to 2,912.02, 4,365.30 and 1,449.76

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Solution

The fourth proportional to 2,912.02, 4,365.30 and 1,449.76 is: 2,173.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.02 : 4,365.30 = 1,449.76 : x
  2. Step 2: Convert to fraction form
    2,912.02/4,365.30 = 1,449.76/x
  3. Step 3: Cross multiply
    2,912.02x = 4,365.30 × 1,449.76
  4. Step 4: Simplify right side
    2,912.02x = 6,328,637.33
  5. Step 5: Solve for x
    x = 6,328,637.33/2,912.02
  6. Step 6: Final answer
    x = 2,173.28

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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.