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Finding the Fourth Proportional to 1,744.70, 2,618.01 and 649.26

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Solution

The fourth proportional to 1,744.70, 2,618.01 and 649.26 is: 974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.70 : 2,618.01 = 649.26 : x
  2. Step 2: Convert to fraction form
    1,744.70/2,618.01 = 649.26/x
  3. Step 3: Cross multiply
    1,744.70x = 2,618.01 × 649.26
  4. Step 4: Simplify right side
    1,744.70x = 1,699,769.17
  5. Step 5: Solve for x
    x = 1,699,769.17/1,744.70
  6. Step 6: Final answer
    x = 974.25

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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.