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Finding the Fourth Proportional to 2,847.40, 3,928.74 and 1,605.16

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Solution

The fourth proportional to 2,847.40, 3,928.74 and 1,605.16 is: 2,214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,847.40 : 3,928.74 = 1,605.16 : x
  2. Step 2: Convert to fraction form
    2,847.40/3,928.74 = 1,605.16/x
  3. Step 3: Cross multiply
    2,847.40x = 3,928.74 × 1,605.16
  4. Step 4: Simplify right side
    2,847.40x = 6,306,256.30
  5. Step 5: Solve for x
    x = 6,306,256.30/2,847.40
  6. Step 6: Final answer
    x = 2,214.74

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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.