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Finding the Fourth Proportional to 2,554.92, 3,834.18 and 1,731.15

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Solution

The fourth proportional to 2,554.92, 3,834.18 and 1,731.15 is: 2,597.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.92 : 3,834.18 = 1,731.15 : x
  2. Step 2: Convert to fraction form
    2,554.92/3,834.18 = 1,731.15/x
  3. Step 3: Cross multiply
    2,554.92x = 3,834.18 × 1,731.15
  4. Step 4: Simplify right side
    2,554.92x = 6,637,540.71
  5. Step 5: Solve for x
    x = 6,637,540.71/2,554.92
  6. Step 6: Final answer
    x = 2,597.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.