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Finding the Fourth Proportional to 1,427.63, 2,141.25 and 387.56

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Solution

The fourth proportional to 1,427.63, 2,141.25 and 387.56 is: 581.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.63 : 2,141.25 = 387.56 : x
  2. Step 2: Convert to fraction form
    1,427.63/2,141.25 = 387.56/x
  3. Step 3: Cross multiply
    1,427.63x = 2,141.25 × 387.56
  4. Step 4: Simplify right side
    1,427.63x = 829,852.14
  5. Step 5: Solve for x
    x = 829,852.14/1,427.63
  6. Step 6: Final answer
    x = 581.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.