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Finding the Fourth Proportional to 2,537.82, 3,806.58 and 782.85

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Solution

The fourth proportional to 2,537.82, 3,806.58 and 782.85 is: 1,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.82 : 3,806.58 = 782.85 : x
  2. Step 2: Convert to fraction form
    2,537.82/3,806.58 = 782.85/x
  3. Step 3: Cross multiply
    2,537.82x = 3,806.58 × 782.85
  4. Step 4: Simplify right side
    2,537.82x = 2,979,981.15
  5. Step 5: Solve for x
    x = 2,979,981.15/2,537.82
  6. Step 6: Final answer
    x = 1,174.23

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1.5x scale

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.