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Finding the Fourth Proportional to 2,832.16, 4,219.04 and 2,746.18

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Solution

The fourth proportional to 2,832.16, 4,219.04 and 2,746.18 is: 4,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.16 : 4,219.04 = 2,746.18 : x
  2. Step 2: Convert to fraction form
    2,832.16/4,219.04 = 2,746.18/x
  3. Step 3: Cross multiply
    2,832.16x = 4,219.04 × 2,746.18
  4. Step 4: Simplify right side
    2,832.16x = 11,586,243.27
  5. Step 5: Solve for x
    x = 11,586,243.27/2,832.16
  6. Step 6: Final answer
    x = 4,090.96

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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.