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Finding the Fourth Proportional to 2,120.50, 3,180.75 and 581.50

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Solution

The fourth proportional to 2,120.50, 3,180.75 and 581.50 is: 872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.50 : 3,180.75 = 581.50 : x
  2. Step 2: Convert to fraction form
    2,120.50/3,180.75 = 581.50/x
  3. Step 3: Cross multiply
    2,120.50x = 3,180.75 × 581.50
  4. Step 4: Simplify right side
    2,120.50x = 1,849,606.13
  5. Step 5: Solve for x
    x = 1,849,606.13/2,120.50
  6. Step 6: Final answer
    x = 872.25

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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.