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Finding the Fourth Proportional to 3,190.64, 4,402.99 and 1,774.29

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Solution

The fourth proportional to 3,190.64, 4,402.99 and 1,774.29 is: 2,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.64 : 4,402.99 = 1,774.29 : x
  2. Step 2: Convert to fraction form
    3,190.64/4,402.99 = 1,774.29/x
  3. Step 3: Cross multiply
    3,190.64x = 4,402.99 × 1,774.29
  4. Step 4: Simplify right side
    3,190.64x = 7,812,181.13
  5. Step 5: Solve for x
    x = 7,812,181.13/3,190.64
  6. Step 6: Final answer
    x = 2,448.47

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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.