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Finding the Fourth Proportional to 1,427.65, 2,141.87 and 1,427.65

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Solution

The fourth proportional to 1,427.65, 2,141.87 and 1,427.65 is: 2,141.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.65 : 2,141.87 = 1,427.65 : x
  2. Step 2: Convert to fraction form
    1,427.65/2,141.87 = 1,427.65/x
  3. Step 3: Cross multiply
    1,427.65x = 2,141.87 × 1,427.65
  4. Step 4: Simplify right side
    1,427.65x = 3,057,833.57
  5. Step 5: Solve for x
    x = 3,057,833.57/1,427.65
  6. Step 6: Final answer
    x = 2,141.87

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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.