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Finding the Fourth Proportional to 2,469.12, 3,407.94 and 1,474.98

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Solution

The fourth proportional to 2,469.12, 3,407.94 and 1,474.98 is: 2,035.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.12 : 3,407.94 = 1,474.98 : x
  2. Step 2: Convert to fraction form
    2,469.12/3,407.94 = 1,474.98/x
  3. Step 3: Cross multiply
    2,469.12x = 3,407.94 × 1,474.98
  4. Step 4: Simplify right side
    2,469.12x = 5,026,643.34
  5. Step 5: Solve for x
    x = 5,026,643.34/2,469.12
  6. Step 6: Final answer
    x = 2,035.80

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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.