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Finding the Fourth Proportional to 1,659.46, 2,289.99 and 913.41

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Solution

The fourth proportional to 1,659.46, 2,289.99 and 913.41 is: 1,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.46 : 2,289.99 = 913.41 : x
  2. Step 2: Convert to fraction form
    1,659.46/2,289.99 = 913.41/x
  3. Step 3: Cross multiply
    1,659.46x = 2,289.99 × 913.41
  4. Step 4: Simplify right side
    1,659.46x = 2,091,713.98
  5. Step 5: Solve for x
    x = 2,091,713.98/1,659.46
  6. Step 6: Final answer
    x = 1,260.48

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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.