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Finding the Fourth Proportional to 3,334, 4,602.78 and 2,008

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Solution

The fourth proportional to 3,334, 4,602.78 and 2,008 is: 2,772.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334 : 4,602.78 = 2,008 : x
  2. Step 2: Convert to fraction form
    3,334/4,602.78 = 2,008/x
  3. Step 3: Cross multiply
    3,334x = 4,602.78 × 2,008
  4. Step 4: Simplify right side
    3,334x = 9,242,382.24
  5. Step 5: Solve for x
    x = 9,242,382.24/3,334
  6. Step 6: Final answer
    x = 2,772.16

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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.