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Finding the Fourth Proportional to 1,751.70, 2,627.70 and 581.45

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Solution

The fourth proportional to 1,751.70, 2,627.70 and 581.45 is: 872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.70 : 2,627.70 = 581.45 : x
  2. Step 2: Convert to fraction form
    1,751.70/2,627.70 = 581.45/x
  3. Step 3: Cross multiply
    1,751.70x = 2,627.70 × 581.45
  4. Step 4: Simplify right side
    1,751.70x = 1,527,876.17
  5. Step 5: Solve for x
    x = 1,527,876.17/1,751.70
  6. Step 6: Final answer
    x = 872.22

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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.