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Finding the Fourth Proportional to 2,127.72, 3,188.16 and 1,396.74

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Solution

The fourth proportional to 2,127.72, 3,188.16 and 1,396.74 is: 2,092.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,127.72 : 3,188.16 = 1,396.74 : x
  2. Step 2: Convert to fraction form
    2,127.72/3,188.16 = 1,396.74/x
  3. Step 3: Cross multiply
    2,127.72x = 3,188.16 × 1,396.74
  4. Step 4: Simplify right side
    2,127.72x = 4,453,030.60
  5. Step 5: Solve for x
    x = 4,453,030.60/2,127.72
  6. Step 6: Final answer
    x = 2,092.86

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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.