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Finding the Fourth Proportional to 2,469.30, 3,703.95 and 2,362.65

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Solution

The fourth proportional to 2,469.30, 3,703.95 and 2,362.65 is: 3,543.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.30 : 3,703.95 = 2,362.65 : x
  2. Step 2: Convert to fraction form
    2,469.30/3,703.95 = 2,362.65/x
  3. Step 3: Cross multiply
    2,469.30x = 3,703.95 × 2,362.65
  4. Step 4: Simplify right side
    2,469.30x = 8,751,137.47
  5. Step 5: Solve for x
    x = 8,751,137.47/2,469.30
  6. Step 6: Final answer
    x = 3,543.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.