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Finding the Fourth Proportional to 2,468.98, 3,408.05 and 1,421.46

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Solution

The fourth proportional to 2,468.98, 3,408.05 and 1,421.46 is: 1,962.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.98 : 3,408.05 = 1,421.46 : x
  2. Step 2: Convert to fraction form
    2,468.98/3,408.05 = 1,421.46/x
  3. Step 3: Cross multiply
    2,468.98x = 3,408.05 × 1,421.46
  4. Step 4: Simplify right side
    2,468.98x = 4,844,406.75
  5. Step 5: Solve for x
    x = 4,844,406.75/2,468.98
  6. Step 6: Final answer
    x = 1,962.11

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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.