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Finding the Fourth Proportional to 1,427.97, 2,141.82 and 503.46

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Solution

The fourth proportional to 1,427.97, 2,141.82 and 503.46 is: 755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.97 : 2,141.82 = 503.46 : x
  2. Step 2: Convert to fraction form
    1,427.97/2,141.82 = 503.46/x
  3. Step 3: Cross multiply
    1,427.97x = 2,141.82 × 503.46
  4. Step 4: Simplify right side
    1,427.97x = 1,078,320.70
  5. Step 5: Solve for x
    x = 1,078,320.70/1,427.97
  6. Step 6: Final answer
    x = 755.14

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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.