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Finding the Fourth Proportional to 3,239.25, 4,470.21 and 1,842

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Solution

The fourth proportional to 3,239.25, 4,470.21 and 1,842 is: 2,541.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.25 : 4,470.21 = 1,842 : x
  2. Step 2: Convert to fraction form
    3,239.25/4,470.21 = 1,842/x
  3. Step 3: Cross multiply
    3,239.25x = 4,470.21 × 1,842
  4. Step 4: Simplify right side
    3,239.25x = 8,234,126.82
  5. Step 5: Solve for x
    x = 8,234,126.82/3,239.25
  6. Step 6: Final answer
    x = 2,541.99

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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.