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Finding the Fourth Proportional to 2,832.66, 4,219.78 and 2,746.68

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Solution

The fourth proportional to 2,832.66, 4,219.78 and 2,746.68 is: 4,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.66 : 4,219.78 = 2,746.68 : x
  2. Step 2: Convert to fraction form
    2,832.66/4,219.78 = 2,746.68/x
  3. Step 3: Cross multiply
    2,832.66x = 4,219.78 × 2,746.68
  4. Step 4: Simplify right side
    2,832.66x = 11,590,385.33
  5. Step 5: Solve for x
    x = 11,590,385.33/2,832.66
  6. Step 6: Final answer
    x = 4,091.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.