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Finding the Fourth Proportional to 2,997.27, 4,495.95 and 1,148.48

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Solution

The fourth proportional to 2,997.27, 4,495.95 and 1,148.48 is: 1,722.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.27 : 4,495.95 = 1,148.48 : x
  2. Step 2: Convert to fraction form
    2,997.27/4,495.95 = 1,148.48/x
  3. Step 3: Cross multiply
    2,997.27x = 4,495.95 × 1,148.48
  4. Step 4: Simplify right side
    2,997.27x = 5,163,503.04
  5. Step 5: Solve for x
    x = 5,163,503.04/2,997.27
  6. Step 6: Final answer
    x = 1,722.74

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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.