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Finding the Fourth Proportional to 2,841.78, 4,262.58 and 894

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Solution

The fourth proportional to 2,841.78, 4,262.58 and 894 is: 1,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.78 : 4,262.58 = 894 : x
  2. Step 2: Convert to fraction form
    2,841.78/4,262.58 = 894/x
  3. Step 3: Cross multiply
    2,841.78x = 4,262.58 × 894
  4. Step 4: Simplify right side
    2,841.78x = 3,810,746.52
  5. Step 5: Solve for x
    x = 3,810,746.52/2,841.78
  6. Step 6: Final answer
    x = 1,340.97

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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.