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Finding the Fourth Proportional to 2,466.02, 3,694.86 and 1,490.08

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Solution

The fourth proportional to 2,466.02, 3,694.86 and 1,490.08 is: 2,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466.02 : 3,694.86 = 1,490.08 : x
  2. Step 2: Convert to fraction form
    2,466.02/3,694.86 = 1,490.08/x
  3. Step 3: Cross multiply
    2,466.02x = 3,694.86 × 1,490.08
  4. Step 4: Simplify right side
    2,466.02x = 5,505,636.99
  5. Step 5: Solve for x
    x = 5,505,636.99/2,466.02
  6. Step 6: Final answer
    x = 2,232.60

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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.