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Finding the Fourth Proportional to 2,356.65, 3,535.20 and 2,324.67

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Solution

The fourth proportional to 2,356.65, 3,535.20 and 2,324.67 is: 3,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.65 : 3,535.20 = 2,324.67 : x
  2. Step 2: Convert to fraction form
    2,356.65/3,535.20 = 2,324.67/x
  3. Step 3: Cross multiply
    2,356.65x = 3,535.20 × 2,324.67
  4. Step 4: Simplify right side
    2,356.65x = 8,218,173.38
  5. Step 5: Solve for x
    x = 8,218,173.38/2,356.65
  6. Step 6: Final answer
    x = 3,487.23

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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.