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Finding the Fourth Proportional to 2,784.92, 4,161.04 and 2,688.06

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Solution

The fourth proportional to 2,784.92, 4,161.04 and 2,688.06 is: 4,016.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.92 : 4,161.04 = 2,688.06 : x
  2. Step 2: Convert to fraction form
    2,784.92/4,161.04 = 2,688.06/x
  3. Step 3: Cross multiply
    2,784.92x = 4,161.04 × 2,688.06
  4. Step 4: Simplify right side
    2,784.92x = 11,185,125.18
  5. Step 5: Solve for x
    x = 11,185,125.18/2,784.92
  6. Step 6: Final answer
    x = 4,016.32

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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.