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Finding the Fourth Proportional to 2,276.64, 3,144.24 and 1,982.16

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Solution

The fourth proportional to 2,276.64, 3,144.24 and 1,982.16 is: 2,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.64 : 3,144.24 = 1,982.16 : x
  2. Step 2: Convert to fraction form
    2,276.64/3,144.24 = 1,982.16/x
  3. Step 3: Cross multiply
    2,276.64x = 3,144.24 × 1,982.16
  4. Step 4: Simplify right side
    2,276.64x = 6,232,386.76
  5. Step 5: Solve for x
    x = 6,232,386.76/2,276.64
  6. Step 6: Final answer
    x = 2,737.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.