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Finding the Fourth Proportional to 1,751.38, 2,628.55 and 827.60

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Solution

The fourth proportional to 1,751.38, 2,628.55 and 827.60 is: 1,242.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.38 : 2,628.55 = 827.60 : x
  2. Step 2: Convert to fraction form
    1,751.38/2,628.55 = 827.60/x
  3. Step 3: Cross multiply
    1,751.38x = 2,628.55 × 827.60
  4. Step 4: Simplify right side
    1,751.38x = 2,175,379.34
  5. Step 5: Solve for x
    x = 2,175,379.34/1,751.38
  6. Step 6: Final answer
    x = 1,242.10

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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.