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Finding the Fourth Proportional to 2,096.88, 2,894.30 and 1,680.14

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Solution

The fourth proportional to 2,096.88, 2,894.30 and 1,680.14 is: 2,319.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.88 : 2,894.30 = 1,680.14 : x
  2. Step 2: Convert to fraction form
    2,096.88/2,894.30 = 1,680.14/x
  3. Step 3: Cross multiply
    2,096.88x = 2,894.30 × 1,680.14
  4. Step 4: Simplify right side
    2,096.88x = 4,862,806.33
  5. Step 5: Solve for x
    x = 4,862,806.33/2,096.88
  6. Step 6: Final answer
    x = 2,319.07

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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.