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Finding the Fourth Proportional to 2,291.85, 3,163.14 and 1,731.45

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Solution

The fourth proportional to 2,291.85, 3,163.14 and 1,731.45 is: 2,389.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.85 : 3,163.14 = 1,731.45 : x
  2. Step 2: Convert to fraction form
    2,291.85/3,163.14 = 1,731.45/x
  3. Step 3: Cross multiply
    2,291.85x = 3,163.14 × 1,731.45
  4. Step 4: Simplify right side
    2,291.85x = 5,476,818.75
  5. Step 5: Solve for x
    x = 5,476,818.75/2,291.85
  6. Step 6: Final answer
    x = 2,389.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.