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Finding the Fourth Proportional to 2,938.77, 4,055.54 and 1,679.81

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Solution

The fourth proportional to 2,938.77, 4,055.54 and 1,679.81 is: 2,318.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.77 : 4,055.54 = 1,679.81 : x
  2. Step 2: Convert to fraction form
    2,938.77/4,055.54 = 1,679.81/x
  3. Step 3: Cross multiply
    2,938.77x = 4,055.54 × 1,679.81
  4. Step 4: Simplify right side
    2,938.77x = 6,812,507.97
  5. Step 5: Solve for x
    x = 6,812,507.97/2,938.77
  6. Step 6: Final answer
    x = 2,318.15

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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.