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Finding the Fourth Proportional to 2,370.51, 3,546.86 and 2,245.50

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Solution

The fourth proportional to 2,370.51, 3,546.86 and 2,245.50 is: 3,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.51 : 3,546.86 = 2,245.50 : x
  2. Step 2: Convert to fraction form
    2,370.51/3,546.86 = 2,245.50/x
  3. Step 3: Cross multiply
    2,370.51x = 3,546.86 × 2,245.50
  4. Step 4: Simplify right side
    2,370.51x = 7,964,462.90
  5. Step 5: Solve for x
    x = 7,964,462.90/2,370.51
  6. Step 6: Final answer
    x = 3,359.81

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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.