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Finding the Fourth Proportional to 2,774.40, 4,161.58 and 826.60

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Solution

The fourth proportional to 2,774.40, 4,161.58 and 826.60 is: 1,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.40 : 4,161.58 = 826.60 : x
  2. Step 2: Convert to fraction form
    2,774.40/4,161.58 = 826.60/x
  3. Step 3: Cross multiply
    2,774.40x = 4,161.58 × 826.60
  4. Step 4: Simplify right side
    2,774.40x = 3,439,962.03
  5. Step 5: Solve for x
    x = 3,439,962.03/2,774.40
  6. Step 6: Final answer
    x = 1,239.89

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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.