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Finding the Fourth Proportional to 2,889.07, 3,986.66 and 1,694.30

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Solution

The fourth proportional to 2,889.07, 3,986.66 and 1,694.30 is: 2,337.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889.07 : 3,986.66 = 1,694.30 : x
  2. Step 2: Convert to fraction form
    2,889.07/3,986.66 = 1,694.30/x
  3. Step 3: Cross multiply
    2,889.07x = 3,986.66 × 1,694.30
  4. Step 4: Simplify right side
    2,889.07x = 6,754,582.34
  5. Step 5: Solve for x
    x = 6,754,582.34/2,889.07
  6. Step 6: Final answer
    x = 2,337.98

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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.