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Finding the Fourth Proportional to 3,328.23, 4,992.33 and 862.85

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Solution

The fourth proportional to 3,328.23, 4,992.33 and 862.85 is: 1,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.23 : 4,992.33 = 862.85 : x
  2. Step 2: Convert to fraction form
    3,328.23/4,992.33 = 862.85/x
  3. Step 3: Cross multiply
    3,328.23x = 4,992.33 × 862.85
  4. Step 4: Simplify right side
    3,328.23x = 4,307,606.98
  5. Step 5: Solve for x
    x = 4,307,606.98/3,328.23
  6. Step 6: Final answer
    x = 1,294.26

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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.