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Finding the Fourth Proportional to 2,780.70, 4,171.05 and 2,646.30

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Solution

The fourth proportional to 2,780.70, 4,171.05 and 2,646.30 is: 3,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.70 : 4,171.05 = 2,646.30 : x
  2. Step 2: Convert to fraction form
    2,780.70/4,171.05 = 2,646.30/x
  3. Step 3: Cross multiply
    2,780.70x = 4,171.05 × 2,646.30
  4. Step 4: Simplify right side
    2,780.70x = 11,037,849.62
  5. Step 5: Solve for x
    x = 11,037,849.62/2,780.70
  6. Step 6: Final answer
    x = 3,969.45

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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.