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Finding the Fourth Proportional to 1,735.52, 2,604.28 and 869.84

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Solution

The fourth proportional to 1,735.52, 2,604.28 and 869.84 is: 1,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.52 : 2,604.28 = 869.84 : x
  2. Step 2: Convert to fraction form
    1,735.52/2,604.28 = 869.84/x
  3. Step 3: Cross multiply
    1,735.52x = 2,604.28 × 869.84
  4. Step 4: Simplify right side
    1,735.52x = 2,265,306.92
  5. Step 5: Solve for x
    x = 2,265,306.92/1,735.52
  6. Step 6: Final answer
    x = 1,305.26

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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.