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Finding the Fourth Proportional to 2,841.52, 4,262.94 and 893.92

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Solution

The fourth proportional to 2,841.52, 4,262.94 and 893.92 is: 1,341.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.52 : 4,262.94 = 893.92 : x
  2. Step 2: Convert to fraction form
    2,841.52/4,262.94 = 893.92/x
  3. Step 3: Cross multiply
    2,841.52x = 4,262.94 × 893.92
  4. Step 4: Simplify right side
    2,841.52x = 3,810,727.32
  5. Step 5: Solve for x
    x = 3,810,727.32/2,841.52
  6. Step 6: Final answer
    x = 1,341.09

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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.