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Finding the Fourth Proportional to 2,469.78, 3,407.91 and 1,421.64

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Solution

The fourth proportional to 2,469.78, 3,407.91 and 1,421.64 is: 1,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.78 : 3,407.91 = 1,421.64 : x
  2. Step 2: Convert to fraction form
    2,469.78/3,407.91 = 1,421.64/x
  3. Step 3: Cross multiply
    2,469.78x = 3,407.91 × 1,421.64
  4. Step 4: Simplify right side
    2,469.78x = 4,844,821.17
  5. Step 5: Solve for x
    x = 4,844,821.17/2,469.78
  6. Step 6: Final answer
    x = 1,961.64

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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.