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Finding the Fourth Proportional to 1,735.80, 2,603.72 and 581.55

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Solution

The fourth proportional to 1,735.80, 2,603.72 and 581.55 is: 872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.80 : 2,603.72 = 581.55 : x
  2. Step 2: Convert to fraction form
    1,735.80/2,603.72 = 581.55/x
  3. Step 3: Cross multiply
    1,735.80x = 2,603.72 × 581.55
  4. Step 4: Simplify right side
    1,735.80x = 1,514,205.39
  5. Step 5: Solve for x
    x = 1,514,205.39/1,735.80
  6. Step 6: Final answer
    x = 872.34

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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.