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Finding the Fourth Proportional to 1,725.76, 2,382.24 and 1,027

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Solution

The fourth proportional to 1,725.76, 2,382.24 and 1,027 is: 1,417.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725.76 : 2,382.24 = 1,027 : x
  2. Step 2: Convert to fraction form
    1,725.76/2,382.24 = 1,027/x
  3. Step 3: Cross multiply
    1,725.76x = 2,382.24 × 1,027
  4. Step 4: Simplify right side
    1,725.76x = 2,446,560.48
  5. Step 5: Solve for x
    x = 2,446,560.48/1,725.76
  6. Step 6: Final answer
    x = 1,417.67

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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.