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Finding the Fourth Proportional to 2,974.03, 4,461.68 and 893.86

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Solution

The fourth proportional to 2,974.03, 4,461.68 and 893.86 is: 1,340.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.03 : 4,461.68 = 893.86 : x
  2. Step 2: Convert to fraction form
    2,974.03/4,461.68 = 893.86/x
  3. Step 3: Cross multiply
    2,974.03x = 4,461.68 × 893.86
  4. Step 4: Simplify right side
    2,974.03x = 3,988,120.91
  5. Step 5: Solve for x
    x = 3,988,120.91/2,974.03
  6. Step 6: Final answer
    x = 1,340.98

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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.