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Finding the Fourth Proportional to 2,317.50, 3,198.15 and 1,386

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Solution

The fourth proportional to 2,317.50, 3,198.15 and 1,386 is: 1,912.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.50 : 3,198.15 = 1,386 : x
  2. Step 2: Convert to fraction form
    2,317.50/3,198.15 = 1,386/x
  3. Step 3: Cross multiply
    2,317.50x = 3,198.15 × 1,386
  4. Step 4: Simplify right side
    2,317.50x = 4,432,635.90
  5. Step 5: Solve for x
    x = 4,432,635.90/2,317.50
  6. Step 6: Final answer
    x = 1,912.68

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Why These Related Problems?

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