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Finding the Fourth Proportional to 1,427.82, 2,141.76 and 606.24

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Solution

The fourth proportional to 1,427.82, 2,141.76 and 606.24 is: 909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.82 : 2,141.76 = 606.24 : x
  2. Step 2: Convert to fraction form
    1,427.82/2,141.76 = 606.24/x
  3. Step 3: Cross multiply
    1,427.82x = 2,141.76 × 606.24
  4. Step 4: Simplify right side
    1,427.82x = 1,298,420.58
  5. Step 5: Solve for x
    x = 1,298,420.58/1,427.82
  6. Step 6: Final answer
    x = 909.37

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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.