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Finding the Fourth Proportional to 2,874.54, 4,305.54 and 2,804.82

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Solution

The fourth proportional to 2,874.54, 4,305.54 and 2,804.82 is: 4,201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.54 : 4,305.54 = 2,804.82 : x
  2. Step 2: Convert to fraction form
    2,874.54/4,305.54 = 2,804.82/x
  3. Step 3: Cross multiply
    2,874.54x = 4,305.54 × 2,804.82
  4. Step 4: Simplify right side
    2,874.54x = 12,076,264.70
  5. Step 5: Solve for x
    x = 12,076,264.70/2,874.54
  6. Step 6: Final answer
    x = 4,201.11

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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.