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Finding the Fourth Proportional to 2,096.79, 2,886.69 and 1,816.12

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Solution

The fourth proportional to 2,096.79, 2,886.69 and 1,816.12 is: 2,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.79 : 2,886.69 = 1,816.12 : x
  2. Step 2: Convert to fraction form
    2,096.79/2,886.69 = 1,816.12/x
  3. Step 3: Cross multiply
    2,096.79x = 2,886.69 × 1,816.12
  4. Step 4: Simplify right side
    2,096.79x = 5,242,575.65
  5. Step 5: Solve for x
    x = 5,242,575.65/2,096.79
  6. Step 6: Final answer
    x = 2,500.29

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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.