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Finding the Fourth Proportional to 4,153.55, 6,230.19 and 1,687.64

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Solution

The fourth proportional to 4,153.55, 6,230.19 and 1,687.64 is: 2,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.55 : 6,230.19 = 1,687.64 : x
  2. Step 2: Convert to fraction form
    4,153.55/6,230.19 = 1,687.64/x
  3. Step 3: Cross multiply
    4,153.55x = 6,230.19 × 1,687.64
  4. Step 4: Simplify right side
    4,153.55x = 10,514,317.85
  5. Step 5: Solve for x
    x = 10,514,317.85/4,153.55
  6. Step 6: Final answer
    x = 2,531.41

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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.