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Finding the Fourth Proportional to 1,444.23, 2,167.43 and 897.21

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Solution

The fourth proportional to 1,444.23, 2,167.43 and 897.21 is: 1,346.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.23 : 2,167.43 = 897.21 : x
  2. Step 2: Convert to fraction form
    1,444.23/2,167.43 = 897.21/x
  3. Step 3: Cross multiply
    1,444.23x = 2,167.43 × 897.21
  4. Step 4: Simplify right side
    1,444.23x = 1,944,635.38
  5. Step 5: Solve for x
    x = 1,944,635.38/1,444.23
  6. Step 6: Final answer
    x = 1,346.49

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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.