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Finding the Fourth Proportional to 2,731.70, 4,098.27 and 1,416.17

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Solution

The fourth proportional to 2,731.70, 4,098.27 and 1,416.17 is: 2,124.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.70 : 4,098.27 = 1,416.17 : x
  2. Step 2: Convert to fraction form
    2,731.70/4,098.27 = 1,416.17/x
  3. Step 3: Cross multiply
    2,731.70x = 4,098.27 × 1,416.17
  4. Step 4: Simplify right side
    2,731.70x = 5,803,847.03
  5. Step 5: Solve for x
    x = 5,803,847.03/2,731.70
  6. Step 6: Final answer
    x = 2,124.63

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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.