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Finding the Fourth Proportional to 2,954.01, 4,076.69 and 1,694.87

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Solution

The fourth proportional to 2,954.01, 4,076.69 and 1,694.87 is: 2,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,954.01 : 4,076.69 = 1,694.87 : x
  2. Step 2: Convert to fraction form
    2,954.01/4,076.69 = 1,694.87/x
  3. Step 3: Cross multiply
    2,954.01x = 4,076.69 × 1,694.87
  4. Step 4: Simplify right side
    2,954.01x = 6,909,430.72
  5. Step 5: Solve for x
    x = 6,909,430.72/2,954.01
  6. Step 6: Final answer
    x = 2,339.00

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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.