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Finding the Fourth Proportional to 3,045.25, 4,205.00 and 1,928.16

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Solution

The fourth proportional to 3,045.25, 4,205.00 and 1,928.16 is: 2,662.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.25 : 4,205.00 = 1,928.16 : x
  2. Step 2: Convert to fraction form
    3,045.25/4,205.00 = 1,928.16/x
  3. Step 3: Cross multiply
    3,045.25x = 4,205.00 × 1,928.16
  4. Step 4: Simplify right side
    3,045.25x = 8,107,903.16
  5. Step 5: Solve for x
    x = 8,107,903.16/3,045.25
  6. Step 6: Final answer
    x = 2,662.48

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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.