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Finding the Fourth Proportional to 2,785.84, 4,192.72 and 2,096.08

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Solution

The fourth proportional to 2,785.84, 4,192.72 and 2,096.08 is: 3,154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.84 : 4,192.72 = 2,096.08 : x
  2. Step 2: Convert to fraction form
    2,785.84/4,192.72 = 2,096.08/x
  3. Step 3: Cross multiply
    2,785.84x = 4,192.72 × 2,096.08
  4. Step 4: Simplify right side
    2,785.84x = 8,788,276.54
  5. Step 5: Solve for x
    x = 8,788,276.54/2,785.84
  6. Step 6: Final answer
    x = 3,154.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.