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Finding the Fourth Proportional to 2,329.50, 3,499.24 and 1,464.42

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Solution

The fourth proportional to 2,329.50, 3,499.24 and 1,464.42 is: 2,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.50 : 3,499.24 = 1,464.42 : x
  2. Step 2: Convert to fraction form
    2,329.50/3,499.24 = 1,464.42/x
  3. Step 3: Cross multiply
    2,329.50x = 3,499.24 × 1,464.42
  4. Step 4: Simplify right side
    2,329.50x = 5,124,357.04
  5. Step 5: Solve for x
    x = 5,124,357.04/2,329.50
  6. Step 6: Final answer
    x = 2,199.77

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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.