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Finding the Fourth Proportional to 1,427.82, 2,142.09 and 453.93

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Solution

The fourth proportional to 1,427.82, 2,142.09 and 453.93 is: 681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.82 : 2,142.09 = 453.93 : x
  2. Step 2: Convert to fraction form
    1,427.82/2,142.09 = 453.93/x
  3. Step 3: Cross multiply
    1,427.82x = 2,142.09 × 453.93
  4. Step 4: Simplify right side
    1,427.82x = 972,358.91
  5. Step 5: Solve for x
    x = 972,358.91/1,427.82
  6. Step 6: Final answer
    x = 681.01

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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.