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Finding the Fourth Proportional to 4,197.53, 6,291.68 and 1,731

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Solution

The fourth proportional to 4,197.53, 6,291.68 and 1,731 is: 2,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.53 : 6,291.68 = 1,731 : x
  2. Step 2: Convert to fraction form
    4,197.53/6,291.68 = 1,731/x
  3. Step 3: Cross multiply
    4,197.53x = 6,291.68 × 1,731
  4. Step 4: Simplify right side
    4,197.53x = 10,890,889.43
  5. Step 5: Solve for x
    x = 10,890,889.43/4,197.53
  6. Step 6: Final answer
    x = 2,594.60

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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.