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Finding the Fourth Proportional to 1,608.57, 2,396.75 and 1,537.79

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Solution

The fourth proportional to 1,608.57, 2,396.75 and 1,537.79 is: 2,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.57 : 2,396.75 = 1,537.79 : x
  2. Step 2: Convert to fraction form
    1,608.57/2,396.75 = 1,537.79/x
  3. Step 3: Cross multiply
    1,608.57x = 2,396.75 × 1,537.79
  4. Step 4: Simplify right side
    1,608.57x = 3,685,678.51
  5. Step 5: Solve for x
    x = 3,685,678.51/1,608.57
  6. Step 6: Final answer
    x = 2,291.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.