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Finding the Fourth Proportional to 2,853.81, 3,938.94 and 1,957.14

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Solution

The fourth proportional to 2,853.81, 3,938.94 and 1,957.14 is: 2,701.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.81 : 3,938.94 = 1,957.14 : x
  2. Step 2: Convert to fraction form
    2,853.81/3,938.94 = 1,957.14/x
  3. Step 3: Cross multiply
    2,853.81x = 3,938.94 × 1,957.14
  4. Step 4: Simplify right side
    2,853.81x = 7,709,057.03
  5. Step 5: Solve for x
    x = 7,709,057.03/2,853.81
  6. Step 6: Final answer
    x = 2,701.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.