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Finding the Fourth Proportional to 2,784.57, 4,171.18 and 1,319.28

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Solution

The fourth proportional to 2,784.57, 4,171.18 and 1,319.28 is: 1,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.57 : 4,171.18 = 1,319.28 : x
  2. Step 2: Convert to fraction form
    2,784.57/4,171.18 = 1,319.28/x
  3. Step 3: Cross multiply
    2,784.57x = 4,171.18 × 1,319.28
  4. Step 4: Simplify right side
    2,784.57x = 5,502,954.35
  5. Step 5: Solve for x
    x = 5,502,954.35/2,784.57
  6. Step 6: Final answer
    x = 1,976.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.