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Finding the Fourth Proportional to 3,262.34, 4,896.76 and 1,802.18

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Solution

The fourth proportional to 3,262.34, 4,896.76 and 1,802.18 is: 2,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.34 : 4,896.76 = 1,802.18 : x
  2. Step 2: Convert to fraction form
    3,262.34/4,896.76 = 1,802.18/x
  3. Step 3: Cross multiply
    3,262.34x = 4,896.76 × 1,802.18
  4. Step 4: Simplify right side
    3,262.34x = 8,824,842.94
  5. Step 5: Solve for x
    x = 8,824,842.94/3,262.34
  6. Step 6: Final answer
    x = 2,705.07

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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.