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Finding the Fourth Proportional to 2,408.88, 3,615.48 and 1,678.98

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Solution

The fourth proportional to 2,408.88, 3,615.48 and 1,678.98 is: 2,519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.88 : 3,615.48 = 1,678.98 : x
  2. Step 2: Convert to fraction form
    2,408.88/3,615.48 = 1,678.98/x
  3. Step 3: Cross multiply
    2,408.88x = 3,615.48 × 1,678.98
  4. Step 4: Simplify right side
    2,408.88x = 6,070,318.61
  5. Step 5: Solve for x
    x = 6,070,318.61/2,408.88
  6. Step 6: Final answer
    x = 2,519.98

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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.