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Finding the Fourth Proportional to 1,442.55, 2,162.32 and 817.07

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Solution

The fourth proportional to 1,442.55, 2,162.32 and 817.07 is: 1,224.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.55 : 2,162.32 = 817.07 : x
  2. Step 2: Convert to fraction form
    1,442.55/2,162.32 = 817.07/x
  3. Step 3: Cross multiply
    1,442.55x = 2,162.32 × 817.07
  4. Step 4: Simplify right side
    1,442.55x = 1,766,755.84
  5. Step 5: Solve for x
    x = 1,766,755.84/1,442.55
  6. Step 6: Final answer
    x = 1,224.74

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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.