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Finding the Fourth Proportional to 1,440.07, 2,164.17 and 855.19

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Solution

The fourth proportional to 1,440.07, 2,164.17 and 855.19 is: 1,285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.07 : 2,164.17 = 855.19 : x
  2. Step 2: Convert to fraction form
    1,440.07/2,164.17 = 855.19/x
  3. Step 3: Cross multiply
    1,440.07x = 2,164.17 × 855.19
  4. Step 4: Simplify right side
    1,440.07x = 1,850,770.28
  5. Step 5: Solve for x
    x = 1,850,770.28/1,440.07
  6. Step 6: Final answer
    x = 1,285.19

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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.