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Finding the Fourth Proportional to 1,659.43, 2,289.97 and 913.40

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Solution

The fourth proportional to 1,659.43, 2,289.97 and 913.40 is: 1,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.43 : 2,289.97 = 913.40 : x
  2. Step 2: Convert to fraction form
    1,659.43/2,289.97 = 913.40/x
  3. Step 3: Cross multiply
    1,659.43x = 2,289.97 × 913.40
  4. Step 4: Simplify right side
    1,659.43x = 2,091,654.03
  5. Step 5: Solve for x
    x = 2,091,654.03/1,659.43
  6. Step 6: Final answer
    x = 1,260.47

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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.