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Finding the Fourth Proportional to 1,605.30, 2,215.22 and 897.12

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Solution

The fourth proportional to 1,605.30, 2,215.22 and 897.12 is: 1,237.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.30 : 2,215.22 = 897.12 : x
  2. Step 2: Convert to fraction form
    1,605.30/2,215.22 = 897.12/x
  3. Step 3: Cross multiply
    1,605.30x = 2,215.22 × 897.12
  4. Step 4: Simplify right side
    1,605.30x = 1,987,318.17
  5. Step 5: Solve for x
    x = 1,987,318.17/1,605.30
  6. Step 6: Final answer
    x = 1,237.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.