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Finding the Fourth Proportional to 1,759.66, 2,640.93 and 894.22

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Solution

The fourth proportional to 1,759.66, 2,640.93 and 894.22 is: 1,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.66 : 2,640.93 = 894.22 : x
  2. Step 2: Convert to fraction form
    1,759.66/2,640.93 = 894.22/x
  3. Step 3: Cross multiply
    1,759.66x = 2,640.93 × 894.22
  4. Step 4: Simplify right side
    1,759.66x = 2,361,572.42
  5. Step 5: Solve for x
    x = 2,361,572.42/1,759.66
  6. Step 6: Final answer
    x = 1,342.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.