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Finding the Fourth Proportional to 2,286.56, 3,430.74 and 1,131.50

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Solution

The fourth proportional to 2,286.56, 3,430.74 and 1,131.50 is: 1,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.56 : 3,430.74 = 1,131.50 : x
  2. Step 2: Convert to fraction form
    2,286.56/3,430.74 = 1,131.50/x
  3. Step 3: Cross multiply
    2,286.56x = 3,430.74 × 1,131.50
  4. Step 4: Simplify right side
    2,286.56x = 3,881,882.31
  5. Step 5: Solve for x
    x = 3,881,882.31/2,286.56
  6. Step 6: Final answer
    x = 1,697.70

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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.