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Finding the Fourth Proportional to 2,184.76, 3,015.06 and 1,190.09

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Solution

The fourth proportional to 2,184.76, 3,015.06 and 1,190.09 is: 1,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.76 : 3,015.06 = 1,190.09 : x
  2. Step 2: Convert to fraction form
    2,184.76/3,015.06 = 1,190.09/x
  3. Step 3: Cross multiply
    2,184.76x = 3,015.06 × 1,190.09
  4. Step 4: Simplify right side
    2,184.76x = 3,588,200.85
  5. Step 5: Solve for x
    x = 3,588,200.85/2,184.76
  6. Step 6: Final answer
    x = 1,642.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.