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Finding the Fourth Proportional to 2,842.53, 4,263.83 and 1,451.94

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Solution

The fourth proportional to 2,842.53, 4,263.83 and 1,451.94 is: 2,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.53 : 4,263.83 = 1,451.94 : x
  2. Step 2: Convert to fraction form
    2,842.53/4,263.83 = 1,451.94/x
  3. Step 3: Cross multiply
    2,842.53x = 4,263.83 × 1,451.94
  4. Step 4: Simplify right side
    2,842.53x = 6,190,825.33
  5. Step 5: Solve for x
    x = 6,190,825.33/2,842.53
  6. Step 6: Final answer
    x = 2,177.93

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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.