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Finding the Fourth Proportional to 2,644.68, 3,966.84 and 696.90

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Solution

The fourth proportional to 2,644.68, 3,966.84 and 696.90 is: 1,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.68 : 3,966.84 = 696.90 : x
  2. Step 2: Convert to fraction form
    2,644.68/3,966.84 = 696.90/x
  3. Step 3: Cross multiply
    2,644.68x = 3,966.84 × 696.90
  4. Step 4: Simplify right side
    2,644.68x = 2,764,490.80
  5. Step 5: Solve for x
    x = 2,764,490.80/2,644.68
  6. Step 6: Final answer
    x = 1,045.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.