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Finding the Fourth Proportional to 1,605.23, 2,214.96 and 897.04

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Solution

The fourth proportional to 1,605.23, 2,214.96 and 897.04 is: 1,237.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.23 : 2,214.96 = 897.04 : x
  2. Step 2: Convert to fraction form
    1,605.23/2,214.96 = 897.04/x
  3. Step 3: Cross multiply
    1,605.23x = 2,214.96 × 897.04
  4. Step 4: Simplify right side
    1,605.23x = 1,986,907.12
  5. Step 5: Solve for x
    x = 1,986,907.12/1,605.23
  6. Step 6: Final answer
    x = 1,237.77

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