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Finding the Fourth Proportional to 2,657.78, 3,988 and 1,196.62

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Solution

The fourth proportional to 2,657.78, 3,988 and 1,196.62 is: 1,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.78 : 3,988 = 1,196.62 : x
  2. Step 2: Convert to fraction form
    2,657.78/3,988 = 1,196.62/x
  3. Step 3: Cross multiply
    2,657.78x = 3,988 × 1,196.62
  4. Step 4: Simplify right side
    2,657.78x = 4,772,120.56
  5. Step 5: Solve for x
    x = 4,772,120.56/2,657.78
  6. Step 6: Final answer
    x = 1,795.53

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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.