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Finding the Fourth Proportional to 2,464.98, 3,398.10 and 1,874.50

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Solution

The fourth proportional to 2,464.98, 3,398.10 and 1,874.50 is: 2,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.98 : 3,398.10 = 1,874.50 : x
  2. Step 2: Convert to fraction form
    2,464.98/3,398.10 = 1,874.50/x
  3. Step 3: Cross multiply
    2,464.98x = 3,398.10 × 1,874.50
  4. Step 4: Simplify right side
    2,464.98x = 6,369,738.45
  5. Step 5: Solve for x
    x = 6,369,738.45/2,464.98
  6. Step 6: Final answer
    x = 2,584.09

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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.