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Finding the Fourth Proportional to 2,841.48, 4,262.36 and 893.84

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Solution

The fourth proportional to 2,841.48, 4,262.36 and 893.84 is: 1,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.48 : 4,262.36 = 893.84 : x
  2. Step 2: Convert to fraction form
    2,841.48/4,262.36 = 893.84/x
  3. Step 3: Cross multiply
    2,841.48x = 4,262.36 × 893.84
  4. Step 4: Simplify right side
    2,841.48x = 3,809,842.08
  5. Step 5: Solve for x
    x = 3,809,842.08/2,841.48
  6. Step 6: Final answer
    x = 1,340.79

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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.