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Finding the Fourth Proportional to 2,555.61, 3,834.90 and 1,385.61

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Solution

The fourth proportional to 2,555.61, 3,834.90 and 1,385.61 is: 2,079.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.61 : 3,834.90 = 1,385.61 : x
  2. Step 2: Convert to fraction form
    2,555.61/3,834.90 = 1,385.61/x
  3. Step 3: Cross multiply
    2,555.61x = 3,834.90 × 1,385.61
  4. Step 4: Simplify right side
    2,555.61x = 5,313,675.79
  5. Step 5: Solve for x
    x = 5,313,675.79/2,555.61
  6. Step 6: Final answer
    x = 2,079.22

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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.