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Finding the Fourth Proportional to 2,874.70, 4,305.66 and 2,804.86

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Solution

The fourth proportional to 2,874.70, 4,305.66 and 2,804.86 is: 4,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.70 : 4,305.66 = 2,804.86 : x
  2. Step 2: Convert to fraction form
    2,874.70/4,305.66 = 2,804.86/x
  3. Step 3: Cross multiply
    2,874.70x = 4,305.66 × 2,804.86
  4. Step 4: Simplify right side
    2,874.70x = 12,076,773.51
  5. Step 5: Solve for x
    x = 12,076,773.51/2,874.70
  6. Step 6: Final answer
    x = 4,201.06

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1.5x scale

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.