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Finding the Fourth Proportional to 1,751.48, 2,627.22 and 581.57

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Solution

The fourth proportional to 1,751.48, 2,627.22 and 581.57 is: 872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.48 : 2,627.22 = 581.57 : x
  2. Step 2: Convert to fraction form
    1,751.48/2,627.22 = 581.57/x
  3. Step 3: Cross multiply
    1,751.48x = 2,627.22 × 581.57
  4. Step 4: Simplify right side
    1,751.48x = 1,527,923.83
  5. Step 5: Solve for x
    x = 1,527,923.83/1,751.48
  6. Step 6: Final answer
    x = 872.36

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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.