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Finding the Fourth Proportional to 1,735.65, 2,394.09 and 1,262.88

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Solution

The fourth proportional to 1,735.65, 2,394.09 and 1,262.88 is: 1,741.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.65 : 2,394.09 = 1,262.88 : x
  2. Step 2: Convert to fraction form
    1,735.65/2,394.09 = 1,262.88/x
  3. Step 3: Cross multiply
    1,735.65x = 2,394.09 × 1,262.88
  4. Step 4: Simplify right side
    1,735.65x = 3,023,448.38
  5. Step 5: Solve for x
    x = 3,023,448.38/1,735.65
  6. Step 6: Final answer
    x = 1,741.97

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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.