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Finding the Fourth Proportional to 2,120.86, 3,180.90 and 581.50

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Solution

The fourth proportional to 2,120.86, 3,180.90 and 581.50 is: 872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.86 : 3,180.90 = 581.50 : x
  2. Step 2: Convert to fraction form
    2,120.86/3,180.90 = 581.50/x
  3. Step 3: Cross multiply
    2,120.86x = 3,180.90 × 581.50
  4. Step 4: Simplify right side
    2,120.86x = 1,849,693.35
  5. Step 5: Solve for x
    x = 1,849,693.35/2,120.86
  6. Step 6: Final answer
    x = 872.14

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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.