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Finding the Fourth Proportional to 4,153.63, 6,230.43 and 1,688.43

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Solution

The fourth proportional to 4,153.63, 6,230.43 and 1,688.43 is: 2,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.63 : 6,230.43 = 1,688.43 : x
  2. Step 2: Convert to fraction form
    4,153.63/6,230.43 = 1,688.43/x
  3. Step 3: Cross multiply
    4,153.63x = 6,230.43 × 1,688.43
  4. Step 4: Simplify right side
    4,153.63x = 10,519,644.92
  5. Step 5: Solve for x
    x = 10,519,644.92/4,153.63
  6. Step 6: Final answer
    x = 2,532.64

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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.