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Finding the Fourth Proportional to 2,841.76, 4,262.70 and 893.96

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Solution

The fourth proportional to 2,841.76, 4,262.70 and 893.96 is: 1,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.76 : 4,262.70 = 893.96 : x
  2. Step 2: Convert to fraction form
    2,841.76/4,262.70 = 893.96/x
  3. Step 3: Cross multiply
    2,841.76x = 4,262.70 × 893.96
  4. Step 4: Simplify right side
    2,841.76x = 3,810,683.29
  5. Step 5: Solve for x
    x = 3,810,683.29/2,841.76
  6. Step 6: Final answer
    x = 1,340.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.