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Finding the Fourth Proportional to 2,975.46, 4,463.76 and 1,196.66

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Solution

The fourth proportional to 2,975.46, 4,463.76 and 1,196.66 is: 1,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975.46 : 4,463.76 = 1,196.66 : x
  2. Step 2: Convert to fraction form
    2,975.46/4,463.76 = 1,196.66/x
  3. Step 3: Cross multiply
    2,975.46x = 4,463.76 × 1,196.66
  4. Step 4: Simplify right side
    2,975.46x = 5,341,608.08
  5. Step 5: Solve for x
    x = 5,341,608.08/2,975.46
  6. Step 6: Final answer
    x = 1,795.22

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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.