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Finding the Fourth Proportional to 2,141.56, 3,214.50 and 1,525.96

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Solution

The fourth proportional to 2,141.56, 3,214.50 and 1,525.96 is: 2,290.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.56 : 3,214.50 = 1,525.96 : x
  2. Step 2: Convert to fraction form
    2,141.56/3,214.50 = 1,525.96/x
  3. Step 3: Cross multiply
    2,141.56x = 3,214.50 × 1,525.96
  4. Step 4: Simplify right side
    2,141.56x = 4,905,198.42
  5. Step 5: Solve for x
    x = 4,905,198.42/2,141.56
  6. Step 6: Final answer
    x = 2,290.48

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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.