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Finding the Fourth Proportional to 2,468.34, 3,682.40 and 2,098.98

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Solution

The fourth proportional to 2,468.34, 3,682.40 and 2,098.98 is: 3,131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.34 : 3,682.40 = 2,098.98 : x
  2. Step 2: Convert to fraction form
    2,468.34/3,682.40 = 2,098.98/x
  3. Step 3: Cross multiply
    2,468.34x = 3,682.40 × 2,098.98
  4. Step 4: Simplify right side
    2,468.34x = 7,729,273.46
  5. Step 5: Solve for x
    x = 7,729,273.46/2,468.34
  6. Step 6: Final answer
    x = 3,131.36

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.