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Finding the Fourth Proportional to 3,190.40, 4,403 and 1,774.16

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Solution

The fourth proportional to 3,190.40, 4,403 and 1,774.16 is: 2,448.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.40 : 4,403 = 1,774.16 : x
  2. Step 2: Convert to fraction form
    3,190.40/4,403 = 1,774.16/x
  3. Step 3: Cross multiply
    3,190.40x = 4,403 × 1,774.16
  4. Step 4: Simplify right side
    3,190.40x = 7,811,626.48
  5. Step 5: Solve for x
    x = 7,811,626.48/3,190.40
  6. Step 6: Final answer
    x = 2,448.48

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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.