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Finding the Fourth Proportional to 2,466.14, 3,400.03 and 1,899.62

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Solution

The fourth proportional to 2,466.14, 3,400.03 and 1,899.62 is: 2,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.14 : 3,400.03 = 1,899.62 : x
  2. Step 2: Convert to fraction form
    2,466.14/3,400.03 = 1,899.62/x
  3. Step 3: Cross multiply
    2,466.14x = 3,400.03 × 1,899.62
  4. Step 4: Simplify right side
    2,466.14x = 6,458,764.99
  5. Step 5: Solve for x
    x = 6,458,764.99/2,466.14
  6. Step 6: Final answer
    x = 2,618.98

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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.