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Finding the Fourth Proportional to 2,694.64, 4,043 and 1,525.96

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Solution

The fourth proportional to 2,694.64, 4,043 and 1,525.96 is: 2,289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.64 : 4,043 = 1,525.96 : x
  2. Step 2: Convert to fraction form
    2,694.64/4,043 = 1,525.96/x
  3. Step 3: Cross multiply
    2,694.64x = 4,043 × 1,525.96
  4. Step 4: Simplify right side
    2,694.64x = 6,169,456.28
  5. Step 5: Solve for x
    x = 6,169,456.28/2,694.64
  6. Step 6: Final answer
    x = 2,289.53

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Why These Related Problems?

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