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Finding the Fourth Proportional to 2,977.82, 4,466.73 and 1,830.86

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Solution

The fourth proportional to 2,977.82, 4,466.73 and 1,830.86 is: 2,746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,977.82 : 4,466.73 = 1,830.86 : x
  2. Step 2: Convert to fraction form
    2,977.82/4,466.73 = 1,830.86/x
  3. Step 3: Cross multiply
    2,977.82x = 4,466.73 × 1,830.86
  4. Step 4: Simplify right side
    2,977.82x = 8,177,957.29
  5. Step 5: Solve for x
    x = 8,177,957.29/2,977.82
  6. Step 6: Final answer
    x = 2,746.29

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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.