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Finding the Fourth Proportional to 2,096.57, 2,888.10 and 1,764.87

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Solution

The fourth proportional to 2,096.57, 2,888.10 and 1,764.87 is: 2,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.57 : 2,888.10 = 1,764.87 : x
  2. Step 2: Convert to fraction form
    2,096.57/2,888.10 = 1,764.87/x
  3. Step 3: Cross multiply
    2,096.57x = 2,888.10 × 1,764.87
  4. Step 4: Simplify right side
    2,096.57x = 5,097,121.05
  5. Step 5: Solve for x
    x = 5,097,121.05/2,096.57
  6. Step 6: Final answer
    x = 2,431.18

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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.