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Finding the Fourth Proportional to 1,743.99, 2,628.53 and 1,503.42

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Solution

The fourth proportional to 1,743.99, 2,628.53 and 1,503.42 is: 2,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.99 : 2,628.53 = 1,503.42 : x
  2. Step 2: Convert to fraction form
    1,743.99/2,628.53 = 1,503.42/x
  3. Step 3: Cross multiply
    1,743.99x = 2,628.53 × 1,503.42
  4. Step 4: Simplify right side
    1,743.99x = 3,951,777.06
  5. Step 5: Solve for x
    x = 3,951,777.06/1,743.99
  6. Step 6: Final answer
    x = 2,265.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.