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Finding the Fourth Proportional to 2,469.76, 3,407.67 and 1,421.82

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Solution

The fourth proportional to 2,469.76, 3,407.67 and 1,421.82 is: 1,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.76 : 3,407.67 = 1,421.82 : x
  2. Step 2: Convert to fraction form
    2,469.76/3,407.67 = 1,421.82/x
  3. Step 3: Cross multiply
    2,469.76x = 3,407.67 × 1,421.82
  4. Step 4: Simplify right side
    2,469.76x = 4,845,093.36
  5. Step 5: Solve for x
    x = 4,845,093.36/2,469.76
  6. Step 6: Final answer
    x = 1,961.77

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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.