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Finding the Fourth Proportional to 3,117.74, 4,676.64 and 1,469.60

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Solution

The fourth proportional to 3,117.74, 4,676.64 and 1,469.60 is: 2,204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.74 : 4,676.64 = 1,469.60 : x
  2. Step 2: Convert to fraction form
    3,117.74/4,676.64 = 1,469.60/x
  3. Step 3: Cross multiply
    3,117.74x = 4,676.64 × 1,469.60
  4. Step 4: Simplify right side
    3,117.74x = 6,872,790.14
  5. Step 5: Solve for x
    x = 6,872,790.14/3,117.74
  6. Step 6: Final answer
    x = 2,204.41

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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.