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Finding the Fourth Proportional to 2,152.96, 3,227.20 and 1,176.98

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Solution

The fourth proportional to 2,152.96, 3,227.20 and 1,176.98 is: 1,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.96 : 3,227.20 = 1,176.98 : x
  2. Step 2: Convert to fraction form
    2,152.96/3,227.20 = 1,176.98/x
  3. Step 3: Cross multiply
    2,152.96x = 3,227.20 × 1,176.98
  4. Step 4: Simplify right side
    2,152.96x = 3,798,349.86
  5. Step 5: Solve for x
    x = 3,798,349.86/2,152.96
  6. Step 6: Final answer
    x = 1,764.25

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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.